Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is

Question

Philoid · Accepted Answer

When the ball bearing is released from a point slightly above the lower point the only restoring force is the force due to gravity.

Thus, when the displacement is ,

And the displacement is very small, thus,

Thus, a is proportional to -θ

∴ the motion is simple harmonic and periodic, so option a and c are correct.