A small sphere oscillates simple harmonically | vedclass

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(C) small sphere oscillating in a watch glass of radius $R$ behaves like a simple pendulum.For a sphere of radius $r$ rolling or sliding in a watch gl

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$0.8\pi$

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(C) small sphere oscillating in a watch glass of radius $R$ behaves like a simple pendulum.For a sphere of radius $r$ rolling or sliding in a watch glass of radius $R$, the effective length of the pendulum is $L = R - r$.Assuming the sphere is very small $(r \approx 0)$, the effective length $L = R = 1.6 	ext{ m}$.The time period $T$ of a simple pendulum is given by the formula $T = 2\pi \sqrt{\frac{L}{g}}$.Substituting the given values $L = 1.6 	ext{ m}$ and $g = 10 	ext{ m/s}^2$:$T = 2\pi \sqrt{\frac{1.6}{10}}$$T = 2\pi \sqrt{0.16}$$T = 2\pi 	imes 0.4$$T = 0.8\pi 	ext{ s}$.

$A$ small sphere oscillates simple harmonically in a watch glass whose radius of curvature is $1.6 \text{ m}$. The period of oscillation of the sphere is (Acceleration due to gravity $g = 10 \text{ m/s}^2$)

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