Questions
A number of holes are drilled along a diameter of a disc of radius R. To get minimum time period of oscillations, the disc should be suspended from a horizontal axis passing through a hole whose distance from the centre should be
detailed solution
Correct option is B
Distance of hinge point from center of disc is let say l.T=2πLg where L=l2+k2l Here k2=R22∴ L=l2+R22l=l+R22lFor minimum time period, L should be minimum. Hence dLdl=0⇒ ddll+R22l=0⇒ 1+R22−1l2=1−R22l2=0⇒l=R2Talk to our academic expert!
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A disc of radius R and mass M is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be
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