Show that the motion of simple pendulum is simple harmonic motion and hence derive an equation for its time period. What is simple pendulum
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Answer:
The motion of Simple Pendulum as Simple Harmonic Motion
When we pull a simple pendulum from its equilibrium position and then release it, it swings in a vertical plane under the influence of gravity. It begins to oscillate about its mean position. Therefore, the motion is periodic and oscillatory.
Calculate the period of oscillations according to the formula above: T = 2π * √(L/g) = 2π * √(2/9.80665) = 2.837 s . Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz.
A pendulum is a weight suspended from a pivot so that it can swing freely. 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.
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❤. SIMPLE PENDULUM: A metalic bob suspended by a light , torsionless, inextensible string is called simple pendulum.
❤. Kindly refer the above attachment
