JEE Mains · Physics · STD 11 - 13. oscillations
A uniform disc of radius \(R\) and mass \(M\) is free to oscillate about the axis \(A\) as shown in the figure. For small oscillations the time period is ______.
(\(g\) is acceleration due to gravity)
- A \(2\pi\sqrt{\dfrac{5R}{4g}}\)
- B \(2\pi\sqrt{\dfrac{2R}{3g}}\)
- C \(2\pi\sqrt{\dfrac{3R}{2g}}\)
- D \(2\pi\sqrt{\dfrac{3R}{g}}\)
Answer & Solution
Correct Answer
(A) \(2\pi\sqrt{\dfrac{5R}{4g}}\)
Step-by-step Solution
Detailed explanation
From the given figure, the axis of rotation is a horizontal line passing through the point \(A\) on the edge of the disc. The circular arrow around the axis indicates that the disc oscillates out of its plane, meaning the axis of rotation is a tangent to the disc in its own…
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