First slide
Simple hormonic motion
Question

A pendulum of mass m and length L is connected to a spring as shown in figure. If the bob is displaced slightly from its mean position and released, it performs simple harmonic motion. The angular frequency of the oscillation of bob is 

Moderate
Solution

τres=Iα  For small angular displacement  θ

mglsinθ+kyh=Iα  sinθ=θ, tanθ=yh=θ

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