Question

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

Answer 1

becuse both do perodic type motion

Answer 2

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

Explanation:

• The motion of Simple Pendulum as Simple Harmonic Motion.
• Simple Harmonic Motion in a Pendulum.
• The motion of a simple pendulum is very close to Simple Harmonic Motion (SHM).
• SHM 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.
• If the swings of the pendulum are relatively small compared to the length of the pendulum.
• Then the equation of motion of the pendulum from left to right, resembles the equation of motion of a wave moving up and down.

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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