Question

How can we prove that motion of simple pendulum is a simple harmonic motion?​

Answer 1

Answer:

simple pendulum consists of a heavy mass particle suspended by a light, flexible and in-extensible string. The motion of the bob of simple pendulum simple harmonic motion if it is given small displacement. In order to prove this fact consider a simple pendulum having a bob of mass 'm' and the length of pendulum is 'l'.

Answer 2

If we displace the pendulum by a very small angle, then it performs the simple harmonic motion.

Explanation:

• The motion of a simple pendulum is very close to Simple Harmonic Motion (SHM).
• Simple harmonic motion results whenever a restoring force is proportional to the displacement, a relationship often known as Hooke's Law when applied to springs.
• A simple pendulum consists of a mass m hanging from a 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.

To Learn More...

1.Show that the motion of a simple pendulum is simple harmonic and hence derive an equation for its time period. What is seconds pendulum?

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