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Simple explanation and demonstration of Simple Pendulum physics experiment by Dr. A.K.Rajarajan. A simple pendulum is a mass (usually a metallic spherical bob) hung by an inextensible and weightless string (usually a cotton thread). Terms associated with simple pendulum: • Oscillatory motion of a simple pendulum: When the spherical bob of the pendulum is displaced at an initial angle and then released, the pendulum is found to move in a repeated to-and-fro motion in a periodic fashion. This motion is termed as oscillatory motion. The centre point of oscillation is called equilibrium position. • Amplitude of simple pendulum motion: The distance travelled by the pendulum from the equilibrium position to one side is called the amplitude of oscillation of the simple pendulum. • Length of simple pendulum: It is distance between the point of suspension to the centre of the bob. Length of a pendulum is denoted by the symbol "l". For the simple pendulum, length is 15 cm. • Time period of simple pendulum motion: The time taken by the pendulum to complete one full oscillation is called the time period of oscillation. It is denoted by the symbol "T". Simple Pendulum experiment explained: First part of this experiment is finding the time period of the simple pendulum. Follow these steps in order to find T: • Let the pendulum oscillate. • After a few oscillations, start the clock when the pendulum comes to one end. • Note the time taken for 20 oscillations. In this case, it was found to be 15.73 sec. • Divide this time by 20 in order to find the time taken for one oscillation. It was found to be 0.786 s. Thus, the time period of this simple pendulum is 0.786 s. The same steps were repeated with a different pendulum of length 60 cm. After following the above mentioned steps for the second pendulum, time period was found to be 1.552 s. Hence, we can see that when the length of the pendulum is increased by four times, the time period doubles. This shows a square root relation between the time period and length of a simple pendulum. Now, repeat the same steps for two more lengths of a simple pendulum and find the respective time periods. For 45 cm length, time period of simple pendulum was found to be 1.346 s. For 30 cm length, time period of simple pendulum was found to be 1.029 s. Using these observations, plot a graph with length of pendulum on the X-axis and square of time period of pendulum on the Y-axis. A straight line graph was observed and this confirms a square root relation between the length and time period of pendulum. The exact relation between time period of a simple pendulum, T, and length, l, is given by the following equation: T = 2*pi*{sqare root (l/g)} Where 'g' is acceleration due to gravity. By squaring the above equation on both sides, we get the following equation: T^2 = {4*(pi^2)/g}*l We had plotted a graph of T^2 versus l. The slope of this graph will thus be equal to 4*(pi^2)/g. From the graph, find the value of slope and equate to the above expression. This will give us the value of 'g'. It was found to be 9.67 m/s^2 for the given set of values. Watch the video to know more about the simple pendulum experiment and demonstration! In the next video on simple pendulum, we will show that time period of the pendulum is independent of its mass. To watch an interesting experiment on magnetic pendulum, watch this video by MERIT - • MERIT Science Camp - Magnetic Pendulum by... This is a high school level physics experiment video, made by MERIT (Mumbai Education, Research, Innovation and Training) which is a field action project of TISS (Tata Institute of Social Sciences). One of the aims of MERIT is to simplify scientific education and to develop scientific temper in society. To know more about MERIT, click on the following links! Our official YouTube channel - / @meritstudio9034 Facebook page - / meritstudio