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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 0001.05.

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Detailed Solution

τ=I α after rotating by θmgRθ≈−mℓ212αα=−12gRℓ2θcomparing with α=-ω2θ∴T=2πℓ212gR=2π112×10×0.3=π3≈1.05

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