Question

the motion of compound pendulum is simple harmonic why​

Answer 1

Answer:

Compound pendulum is a rigid body of any shape, capable of oscillating about a horizontal axis passing through it. ... When this compound pendulum is given a small angulr displacement θ and is then released it begins to oscillate about point A. At angular displacement θ its center of gravity now takes new position at G'.

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Answer 2

the motion of a simple pendulum is very close to simple harmonic motion