- e the acceleration due to gravity g in your own locale. Cut a piece of a string or dental floss so that it is about 1 m long. Attach a small object of high density to the end of the string (for example, a metal nut or a car key)
- e the acceleration due to gravity [latex]{g}[/latex] in your own locale. Cut a piece of a string or dental floss so that it is about 1 m long. Attach a small object of high density to the end of the string (for example, a metal nut or a car key)
- Typically one or more of the forces are resolved into perpendicular components that lie along coordinate axes that are directed in the direction of the acceleration or perpendicular to it. So in the case of a pendulum, it is the gravity force which gets resolved since the tension force is already directed perpendicular to the motion
- A pendulum is a body suspended from a fixed support so that it swings freely back and forth under the influence of gravity. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force acting on the pendulum's mass causes it to oscillate about the equilibrium position, swinging it back and forth. The mathematics of.
- Pendulum Properties. The mathematical pendulum has very interesting properties. All of them are confirmed by known physical laws. The period of oscillation of any other pendulum depends on various circumstances, such as the size and shape of the body, the distance between the point of suspension and the center of gravity, the distribution of mass relative to a given point

A simple pendulum is a typical laboratory experiment in many academic curricula. Students are often asked to evaluate the value of the acceleration due to gravity, g, using the equation for the time period of a pendulum. Rearranging the time period equation, g = 4Ï€ 2 L/T The acceleration and velocity are tangentially in the same direction when the pendulum is speeding up, and tangentially in opposite directions whenever the pendulum is slowing down, as it should be. Right at the middle point, when the pendulum is momentarily moving at a constant speed, the acceleration is purely in the radial direction, as it should be for an object in circular motion at a constant speed Pendulums are affected by changes in gravitational acceleration, which varies by as much as 0.5% at different locations on Earth, so precision pendulum clocks have to be recalibrated after a move. Even moving a pendulum clock to the top of a tall building can cause it to lose measurable time from the reduction in gravity Measuring gravitational acceleration with a pendulum by Don Cross 7 April 2009 (Tuesday) I have decided to try to measure the gravitational field strength at my home as accurately as possible. I have adopted a classic method: the timing of a pendulum's oscillation of known length

Finding the acceleration due to gravity. The time period of a simple pendulum depends on the length of the pendulum (l) and the acceleration due to gravity (g), which is expressed by the relation, For small amplitude of oscillations, ie; If we know the value of l and T, we can calculate the acceleration due to gravity, g at that place. The L-T. Use a simple pendulum to determine the acceleration due to gravity[latex]\boldsymbol{g}[/latex]in your own locale. Cut a piece of a string or dental floss so that it is about 1 m long. Attach a small object of high density to the end of the string (for example, a metal nut or a car key) I have been thinking about pendulums lately. I wanted to explore there physics and as a result we have this video. I hung a fishing weight in my closet and l..

- acceleration = R(Î¸'' cos Î¸ i âˆ’ Î¸' 2 sin Î¸ i + Î¸'' sin Î¸ j + Î¸' 2 cos Î¸ j) The position is derived by a fairly simple application of trigonometry. The velocity and acceleration are then the first and second derivatives of the position. Next we draw the free body diagram for the pendulum. The forces on the pendulum are the tension in.
- Using a simple pendulum the acceleration due to gravity in Salt Lake City, Utah, USA was found to be (9.8 +/- .1) m=s2. The model was constructed with the square of the period of oscillations in the small angle approximation being proportional to the length of the pendulum. The model was supported by the data using a linear t with chi-square
- e the value of acceleration due to gravity (g) at the surface of earth by using Bar Pendulum.LIKE SHARE SUBSCRIBEABOUT:-In this Robotic..
- L is the length of the pendulum (of the string from which the mass is suspended); and; g is the acceleration of gravity. On Earth, this value is equal to 9.80665 m/sÂ² - this is the default value in the simple pendulum calculator. You can find the frequency of the pendulum as the reciprocal of period: f = 1/T = 1/2Ï€âˆš(g/L
- Pendulum Calculator (Frequency & Period) Enter the acceleration due to gravity and the length of a pendulum to calculate the pendulum period and frequency. On earth the acceleration due to gravity is always approximately 9.81 m/s^2. Frequency Calculator. Acceleration Calculator. Gravitational Potential Energy Calculator
- The
**Pendulum**8.1 Objectives â€¢ Investigate the functional dependence of the period (âŒ§)1 of a**pendulum**on its length (L), the mass of its bob (m), and the starting angle ( 0). â€¢ Use a**pendulum**to measure g, the**acceleration**due to gravity. 8.2 Introduction Everyday we experience things moving in a periodic manner. For example

- glowing pendulum blocks lesson. construct a pendulum that glows using acceleration. Topic. Acceleration. Quick Links. activity; tutorial; challenges; quiz; quiz answers; Prior learning/place of lesson in scheme of work. Learn how to get the acceleration acceleration, acceleration value (g-force), in one of thre
- Pendulum, body suspended from a fixed point so that it can swing back and forth under the influence of gravity. Pendulums are used to regulate the movement of clocks, because the interval of time for each complete oscillation, called the period, is constant
- where the tangential acceleration is l Î± and Î± is the angular acceleration, d 2 Î¸/dt 2. The negative sign indicates that the net force is a restoring force, i.e., that the tangential force is in the opposite direction of the displacement from equilibrium Î¸. Another approach to the pendulum is conservation of energy

Pendulum Geometry The period of a simple pendulum for small amplitudes Î¸ is dependent only on the pendulum length and gravity. For the physical pendulum with distributed mass, the distance from the point of support to the center of mass is the determining length and the period is affected by the distribution of mass as expressed in the moment of inertia I The acceleration equation simplifies to the equation below when we just want to know the maximum acceleration. Time period of a mass-spring system. Time period of a Pendulum. SHM and Energy. For a pendulum undergoing SHM energy is being transferred back and forth between kinetic energy and potential energy The angular acceleration of the pendulum is ## \ddot {\theta} = -\frac{g\sin(\theta)}{R}## I have four more questions. I thought making a new forum would be too much for such simple questions Lab 7 Summary - Covers the Simple Pendulum lab Physics Acceleration Due to Gravity Report #1 Mechanical Energy lab report Ballistic Pendulum lab report Test 2 - Lecture with Lynch Geology 105 - Exam 2 Quiz Questions + Answers. Other related documents In pendulum method, the period of oscillations is independent of the pendulum mass, but dependent of the square root of the string length. The simple pendulum setup can be used for the determination of acceleration of gravity value (g) (Cutnell, & Kenneth, 2013)

** Simple Pendulum is a mass (or bob) on the end of a massless string, which when initially displaced, will swing back and forth under the influence of gravity over its central (lowest) point**. Use this online simple pendulum calculator to calculate period, length and acceleration of gravity alternatively with the other known values Pendulum. A rigid body mounted on a fixed horizontal axis, about which it is free to rotate under the influence of gravity. The period of the motion of a pendulum is virtually independent of its amplitude and depends primarily on the geometry of the pendulum and on the local value of g, the acceleration of gravity.Pendulums have therefore been used as the control elements in clocks, or.

The mean experimental values of acceleration due to the gravity of free fall, simple pendulum, physical pendulum and the Atwood's machine were 9.64 m/sÂ², 9.67 m/sÂ², 10.88 m/sÂ² and 10.47 m/sÂ². Fig. 1 The pendulum arrangement used to measure the acceleration due to gravity, g. Methodology A pendulum comprising a light string of variable length and a brass bob of mass 34.4 0.1 10 3 kg was attached to a pivot (figure 1) Free Shipping on eBa The period of a simple pendulum depends on its length and the acceleration due to gravity. The period is completely independent of other factors, such as mass and the maximum displacement. As with simple harmonic oscillators, the period T for a pendulum is nearly independent of amplitude, especially if \(\theta\) is less than about 15Â°

- us sign indicates that the force is opposite to the displacement. For small amplitudes where Î¸ is small, sinÎ¸ can be approximated by Î¸ measured in radians so that Equation (3) can be written as. F = - mg Î¸
- e the acceleration due to gravity. The equation2pi*(l /g) ^ (1/2) gives the Period of oscillation of the pendulum about a fixed point (Giancoli, 2016)
- The time period of a simple pendulum is inversely proportional to the square root of the acceleration due to gravity at that place. This property is known as the law of acceleration due to gravity. When effective length (L) is constant, the time period (T) of oscillation of a simple pendulum is inversely proportional to the square root of the acceleration due to gravity (g) at a place of observation
- For a pendulum which has a light string to hang a bob, I know that when the bob swing to the leftmost or rightmost end, the velocity of the bob is zero and the acceleration should be maximized. But..

* Simple pendulum calculator solving for acceleration of gravity given period and length Solve for acceleration of gravity: Solve for distance from center of mass to pivot: References - Books: Tipler, Paul A*.. 1995. Physics For Scientists and Engineers. Worth Publishers. 3rd ed The gravitational acceleration, 'g', was also determined from the experiment. Theory:A simple pendulum consists of a bob suspended by a light (massless) string of length 'L' fixed at its upper end. In an ideal case, when a mass is pulled back and release, the mass swings through its equilibrium point to a point equal in height to the release point, and back to the original release point over. The simple pendulum equation is: T = 2Ï€ * âˆš L/g Where: T: Period of the simple pendulum L: Length of the pendulum g: g: Acceleration due to gravity, the standard gravity of Earth is 9.80665m/s 2 The velocity at the bottom of the swing is: v = âˆš 2g * L * (1-cos(a)) Where: v: The velocity at the bottom of the pendulum a: The angle from the vertica If the lift is moving downward with acceleration 'a', then T = 2Ï€ Ã— (L/g eff), g eff = âˆš(g 2 + a 2) or, T = 2Ï€ Ã— âˆš[L/(g 2 + a 2) 1/2] For simple pendulum of length 'L' comparable to the radius of the earth 'R', then the time period T = 2Ï€ [1/(g/L + g/R)] For infinitely long pendulum L > > R near the earth surface, T = 2Ï€ Ã— âˆš(R/g Pendulum clocks are made to run at the correct rate by adjusting the pendulum's length. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you, will you have to lengthen or shorten the pendulum to keep the correct time, other factors remaining constant

For pendulum length L = cm = m : and acceleration of gravity g = m/s 2: the pendulum period is T = The pendulum motion leads also to a rotation of the coordinate system for the circle, resulting in an additional acceleration which is orthogonal both to the velocity relative to the centre of the star, and to the main rotation axis Oscillation of a Simple Pendulum The Equation of Motion A simple pendulum consists of a ball (point-mass) m hanging from a (massless) string of length L and fixed at a pivot point P. When displaced to an initial angle and released, the pendulum will swing back and forth with periodic motion This linear acceleration . a. can be related to the change in angle Î¸ by the . arc length . formulas: Thus: This is the . differential equation which, when solved for Î¸(t), will yield the motion of the pendulum. It can also be obtained via the conservation of mechanical energy principle: any given object which fell a vertical distance For a swinging pendulum there is a net force and hence the pendulum bob accelerates. Thus at the bottom of the swing, the net force (Tension - Weight) is responsible for the centripetal acceleration. Tension - Weight = m acentripetal. A swinging pendulum is never in equilibrium (i.e. there is always a net force)

The pendulum swings back and forth between two maximum angles and velocities. The kinetic energy of the pendulum is not enough to overcome gravitational energy and enable the pendulum to make a full loop. The higher energies of the contour plot do not close upon themselves. The pendulum always moves in one angular direction ** Pendulums are used to regulate the movement of clocks because the interval of time for each complete oscillation, called the period, is constant**. The formula for the period T of a pendulum is T = 2Ï€ Square root ofâˆšL/g, where L is the length of the pendulum and g is the acceleration due to gravity. pendulum. Pendulum where Î¸ is the angular displacement, Î± the angular acceleration, L the torque and I the rotational inertia of the body. Figure 1 represents a compound pendulum of mass m, consisting of a rectangular bar AB to which a cylindrical mass M is attached. The pendulum is suspended on a transverse axis through the point S

(1) for the acceleration due to gravity g. (You should derive this result on your own). g = 4Ï€Â²L/T2 (3) 1. Measure the length of the pendulum to the middle of the pendulum bob. Record the length of the pendulum in the table below. 2. With the help of a lab partner, set the pendulum in motion until it completes 30 t Get answer out. (Keep every digit your calculator gives you. This is a test of precision.) â„“ = 0.993621386 m Note how close this is to one meter. In the late 17th century, the the length of a seconds pendulum was proposed as a potential unit definition pendulum is given by: g L T = p or . 2 2 1 L g T S (eq. 1), where g is the acceleration due to gravity, 9.8 m/s2. Equation 1 indicates that the period and length of the pendulum are directly proportional; that is, as the length, L, of a pendulum is increased, so will its period, T, increase. However, it is not a linear relationship Energy in a Pendulum. In a simple pendulum with no friction, mechanical energy is conserved. Total mechanical energy is a combination of kinetic energy and gravitational potential energy. where g is the acceleration due to gravity and h is the height

- Equation \eqref{4} shows that time period of pendulum is related to the length of the thread, angle $\theta$ between the thread and the vertical line, and the acceleration due to gravity. When $\theta$ increases, the value of $\cos \theta$ decreases and hence the time period decreases
- e the comparison of the frequency of the first [
- A pendulum is one of most common items found in households. It is a device that is commonly found in wall clocks. This article will throw light on this particular device. Here students will learn pendulum formula, how pendulum operates and the reason behind its harmonic motion and period of a pendulum

- â€¢m = pendulum mass â€¢m spring = spring mass â€¢l = unstreatched spring length â€¢k = spring constant â€¢g = acceleration due to gravity â€¢F t = pre-tension of spring â€¢r s = static spring stretch, = í µí±”âˆ’í µí°¹í µí±¡ í µí±˜ â€¢r d = dynamic spring stretch â€¢r = total spring stretch
- e the acceleration due to gravity \(g\) in your own locale. Cut a piece of a string or dental floss so that it is about 1 m long. Attach a small object of high density to the end of the string (for example, a metal nut or a car key)
- Other articles where Compound pendulum is discussed: pendulum: A compound pendulum has an extended mass, like a swinging bar, and is free to oscillate about a horizontal axis. A special reversible compound pendulum called Kater's pendulum is designed to measure the value of g, the acceleration of gravity
- Non-uniform circular motion Up: Circular motion Previous: Centripetal acceleration The conical pendulum Suppose that an object, mass , is attached to the end of a light inextensible string whose other end is attached to a rigid beam.Suppose, further, that the object is given an initial horizontal velocity such that it executes a horizontal circular orbit of radius with angular velocity
- ed for angular displacement, velocity and acceleration, and the dependence of the period of a pendulum on the amplitude of oscillation is investigated. Setup 1
- US3047962A - Acceleration compensated pendulum - Google Patents Acceleration compensated pendulum Download PDF Info Publication pendulum output signal velocity equation Prior art date 1959-05-28 Legal status (The legal status is an assumption and is not a legal conclusion
- As the angular acceleration is proportional to angular displacement, the motion of the compound pendulum is simple harmonic and its time period í µí±‡ is given by Now If I G is the moment of inertia of the body about an axis parallel with the axis of oscillation and passing through the centre of gravity G

The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g, according to The mpeg movie at left (39.5 kB) shows two pendula, with different lengths The pendulum swings fastest at its lowest point and slowest at the top of each swing. The periodic time for a swinging pendulum is constant only when amplitudes are small. Its period of oscillation is then T =2Ï€ âˆš _(l /g)_where; T = Time period for one oscillation (s) l = Length of pendulum (m) g = acceleration due to gravity (m s-2

- To plot L-T and L-T2 graphs using a simple pendulum and thus find the; Effective length of the second's pendulum using the appropriate graph. Acceleration due to gravity
- The seconds pendulum, a pendulum with a period of two seconds so each swing takes one second, was widely used to measure gravity, because its period could be easily measured by comparing it to precision regulator clocks, which all had seconds pendulums.By the late 17th century, the length of the seconds pendulum became the standard measure of the strength of gravitational acceleration at a.
- View Pendulum experiment - gravitational acceleration .pdf from PHYSICS 123 at Methodist College Kuala Lumpur. Physics Pendulum Experiment Sample Report Aim To investigate the relationship betwee
- When a pendulum swings from side to side, its velocity and acceleration vary â€” both in magnitude and in direction â€” at each point during the motion. The magnitude of velocity of a pendulum is highest in the center and lowest at the edges. On the other hand, the magnitude of its acceleration is highest at the edges and lowest at the center

Physics 4A Lab 8: The Simple **Pendulum** . In this experiment we will study how the mass of a **pendulum** bob, the length of the string and the amplitude of the swing affects . the period of the **pendulum**. We will test the relationship between . length of the **pendulum**, the **acceleration** due to gravity and the period How to Solve the Pendulum. A pendulum is an object consisting of a mass suspended from a pivot so that it can swing freely. The mathematics of pendulums are governed by the differential equation \frac{\mathrm{d}^{2}\theta}{\mathrm{d}t^{2}}.. The angle Î¸ in terms of the tangential velocity of the mass, the radius of the circular path (r) and the acceleration due to gravity (g); and The height of the conical pendulum in terms of Ï‰ 2 and

THE SIMPLE PENDULUM DERIVING THE EQUATION OF MOTION The simple pendulum is formed of a light, stiff, inextensible rod of length l with a bob of mass m.Its position with respect to time t can be described merely by the angle q (measured against a reference line, usually taken as the vertical line straight down) In an experiment on simple pendulum to determine the acceleration due to gravity, a student measures the elngth of the thread as 632 cm and diameter of the pendulum bob as 2.256 cm. The student should take the lenght of the pendulum to be (A) 64.328 cm (B) 64.36 cm (C) 65.456 (D) 65.5 c

- ing the Acceleration of the Pendulum, in Latitude 79 50'. by a Letter to the Hon. Constantine John Phipps.: Horsley, Samuel: Amazon.n
- ing the acceleration of the pendulum in latitude 79?50: Amazon.n
- The acceleration of the pendulum can be computed by knowing the time taken for each pendulum and the exact length of the pendulum. The time taken for one oscillation can be calculated by dividing the total time by the number of oscillations counted

** Measuring Acceleration due to Gravity by the Period of a Pendulum**. What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000 cm has a period of 1.7357 s? Strategy. We are asked to find g given the period T and the length L of a pendulum. We can solv The physical pendulum; Footnotes; In this section, we show how and when the motion of a pendulum can be described as simple harmonic motion. Consider the simple pendulum that is constructed from a mass-less string of length, \(L\), attached to a fixed point on one end and to a point mass \(m\) on the other, as illustrated in Figure \(\PageIndex{1}\).. In this case, the pendulum frequency is dependent only on the length of the pendulum and the local gravitational acceleration, and is independent of the mass of the pendulum and the amplitude of the pendulum swings (provided that remains a good approximation). Historically, the simple pendulum was the basis of virtually all accurate time-keeping devices before the advent of electronic clocks

Determining acceleration due to gravity, g, from a pendulum swing Method 1. Make a pendulum by tying a small mass (such as a nut) to a piece of cotton (or thin string) that is about 1 m long. 2. Stick (Blu-tack works well) a protractor to the edge of a table and then using another piece of Blu-tack on the front of the protractor, hang the pendulum A maximum angle is set for the pendulum so that the given position graph closely approximates the actual motion of an oscillating pendulum. Snapshot 1: a pendulum of length 1 m and mass 4 kg on Uranus with a period of 1.924 seconds. Snapshot 2: a pendulum of length 1.918 m and mass 6 kg on a planet where gravity is with a period of 2.110 s In an experiment to determine the acceleration due to gravity g we have to measure the length of the pendulum and the time period. The length is from the pivot point to the centre of the mass. One swing of the pendulum is from any point (usually one end) and then across and back to the same point going in the same direction Acceleration sensor: Acceleration will activate the pendulum. The switching activating point corresponds to a specific deflection ÃŸ and thus to a specific acceleration. The acceleration can be calculated according to the following formula: a = tanÃŸ * g. If the switching angle at a specific acceleration is needed, the following formula is.

pendulum are the length and acceleration due to gravity. The period is completely independent of other factors, would be mass. As with simple harmonic oscillators, the T-period for a pendulum is almost independent of amplitude, especially if it is less than about 15o * 1: Pendulum clocks are made to run at the correct rate by adjusting the pendulum's length*. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you, will you have to lengthen or shorten the pendulum to keep the correct time, other factors remaining constant Conclusion: Gravitational acceleration was found to be _____ form the result calculations and _____ form graphical solution. These values were ____% off the accepted value of 9.8m/s^2. the independent variable in this investigation was the length of the string and, therefore, the length of the pendulum this is only if the dimensions of the mass carrier are kept constant which in this case were Aim . To determine g, the acceleration of gravity at a particular location.. Apparatus . Kater's pendulum, stopwatch, meter scale and knife edges. Theory. Kater's pendulum, shown in Fig. 1, is a physical pendulum composed of a metal rod 1.20 m in length, upon which are mounted a sliding metal weight W 1, a sliding wooden weight W 2, a small sliding metal cylinder w, and two sliding knife. From the angle, the amplitude can be calculated and from amplitude and oscillation period finally the speed at the pendulum's center can be calculated. A single oscillation begins and ends at the same state of motion, so an oscillation has the length 4a. A mathematical pendulum would swing forever, a real one is slowed down by friction

Even simple pendulum clocks can be finely adjusted and accurate. Note the dependence of T T size 12{T} {} on g g size 12{g} {}. If the length of a pendulum is precisely known, it can actually be used to measure the acceleration due to gravity. Consider the following example The minimum acceleration value is 6.3, the maximum acceleration value is 13, and the average acceleration value is 9.5 meters per second squared. A marker is placed at the peak acceleration of 11.26 meters per second squared (5.5 seconds). An example graph shows acceleration over time for a pendulum A simple pendulum is suspended from the ceiling of an elevator. The elevator is accelerating upward with acceleration a. Find the period of this pendulum in terms of its length L, g, and a t = Pendulum period, seconds; L = Pendulum arm length, meters; g = Little-g, described above; Some explanation: The assumption is that the pendulum consists of a weight attached to the end of a massless arm of length L, that there is no friction, and there is no air resistance. Equation (1) is only accurate for infinitesimally small swings Acceleration due to gravity 'g' by Kater's Pendulum Object: |To determine the value of acceleration due to gravity with Kater's pendulum. Apparatus used: Kater's pendulum, a stop watch and a meter rod. Formula: The following formula is used for the determination of acceleration due to gravity 'g': 1 2 2 2 2 1 1 2 2 2 2 1 8 2 l l T T l l T T g âˆ’ âˆ’ + + + Ï€.

Physics laboratory. The mean experimental values of acceleration due to the gravity of free fall, simple pendulum, physical pendulum and the Atwood's machine were 9.64 m/s2, 9.67 m/s2, 10.88 m/s2 and 10.47 m/s2, respectively. 1. Introduction . Acceleration due to the gravity of the Earth is denoted by the symbol g which is the acceleration o A physical pendulum is an object suspended in a uniform gravitational field from a point other than its center of mass. The object can rotate about an axis through the suspension point. When the CM is displaced from its stable equilibrium point under the support, the gravitational force exerts a torque about the support, resulting in angular acceleration Inverted Pendulum: Control Theory and Dynamics: The inverted pendulum is a classic problem in dynamics and control theory that is generally elaborated in high-school and undergraduate physics or math courses. Being a math and science enthusiast myself, I decided to try and implement the concepts Pendulum Apparatus simple pendulum, such as a ball on a string suspended from a retort stand Action The acceleration is a maximum at the end points of the swing, and a minimum (zero) in the middle, at the lowest point. The forces acting are gravity, tension and friction Simple Pendulum is known as an ideal pendulum because we cannot have a point mass and a weightless string. In practice, simple pendulum consists of a small heavy metallic bob suspended by a long fine thread from a rigid support. The point from which the pendulum is suspended is known as the point of suspension

A simple pendulum fixed in a car has a time period of 4 seconds when the car is moving uniformly on a horizontal road. When the accelerator is pressed, the time period changes to 3. 9 9 seconds. Making an approximate analysis, find the acceleration of the car As seen in this diagram, the length of the pendulum is measured from the pendulum's point of suspension to the center of mass of its bob. Its amplitude is the string's angular displacement from its vertical or its equilibrium position.If a pendulum is pulled to the right side and released to swing back and forth, its path traces our a sine curve as shown below The pendulum was first developed at the Tokyo Institute of Technology by Furuta and his colleagues [1-4].Since then, dozens, possibly hundreds of papers and theses have used the system to demonstrate linear and nonlinear control laws [5, 6].The system has also been the subject of two texts [7, 8].Despite the great deal of attention the system has received, very few publications successfully. COMPOUND **PENDULUM** The compound **pendulum**, which is also known as the physical **pendulum**, is an extension of the simple **pendulum**. The physical **pendulum** is any rigid body that is pivoted so that it can oscillate freely. The compound **pendulum** has a point called the center of oscillation. This is placed at a distance L from the pivot where L is given by L = I/mR; here, m is the mass of the **pendulum**. Acceleration and rotation in a pendulum ride 7 horizontal axis, e h = sinËše x + cosËše y, shown in gures 2 and 4. The angle of the rotating x-y coordinate system can be written as Ëš= t. The time dependence of the angular velocity associated with the pendulum motion can be written as ! h = ! 0 sinpt Answer:-Acceleration due to gravity on the surface of moon,g' = 1.7 m s -2. Acceleration due to gravity on the surface of earth, g = 9.8 m s -2. Time period of a simple pendulum on earth, T = 3.5 s. T=2Ï€âˆšl/g. where l =length of the pendulum. l= T 2 / (2Ï€) 2 x g = (3.5) 2 / (4x (3.14) 2) x 9.8 m. The length of the pendulum remains constant