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Q.

A uniform meter scale is balanced on fixed semicircular cylinder of radius 30 cm as shown. One end of scale is slightly depressed and released. Time period of oscillation of the meter scale is ______s. [ g=10 ms−2, π=3.142]

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answer is 1.05.

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Detailed Solution

T=I α after rotating by θ⇒mgRθ≈−mℓ212α⇒α=−12gRℓ2θ∴T=2πω =2πℓ212gR⇒T=2π112×10×0.3=π3≈1.05 s

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