1.

Why the amplitude of the vibrating pendulum should be small?

Answer»

When amplitude of the vibrating pendulum is small then θ is small.

Here the restoring force F = -mg sin θ = -mgθ = -mgx/l,

where x is the displacement of bob and l is the length of pendulum.

Hence F ∝ -x. Since F is directed towards mean position.

Therefore, the motion of the bob of simple pendulum will be SHM, if θ is small.



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