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Question
Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is ______.
- simple harmonic motion.
- non-periodic motion.
- periodic motion.
- periodic but not S.H.M.
Solution
a and c
Explanation:
For small angular displacement, the situation is shown in the figure. Only one restoring force creates motion in a ball inside the bowl.
F = – mg sin θ
As θ is small, sin θ = θ
So, `ma = - mg x/R`
or a = `- (g/R)x`
⇒ a ∝ – x
So, the motion of the ball is S.H.M and periodic.
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