Questions
A one kg stone attached to the end of a 60 cm chain is revolving at the rate of 3 revolutions/second. If after 30 second, it is making only one revolution per second, find the mean torque
detailed solution
Correct option is D
The torque τis given byτ= change in momentum time taken Here, L1=mr2ω1=mr2×2πv1and L2=mr2ω2=mr2×2πv2so, change in momentum=mr2×2πv1−v2∴ τ=mr2×2πv1−v2t =1(0⋅6)2×2π(3−1)30 =0⋅15N−m.Talk to our academic expert!
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A disc can rotate about an axis passing through its centre and perpendicular to the plane of the disc. Initially the disc is stationary and its moment of inertia about the axis is 4 Kg-m2. A torque is applied on the disc which varies with time according to the graph shown in figure. Then angular velocity of the disc at the end of 6th second is
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