A disc is rolling without slipping on a horizontal surface with C, as its centre, and Q and P the two points equidistant from
C. Let vP,vQ and vC be the magnitudes of velocities of points P, Q and C respectively, then
A
vQ>vC>vP
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B
vQ<vC<vP
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C
vQ=vP,vC=12vP
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D
vQ<vC>vP
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Solution
The correct option is AvQ>vC>vP We can take the point in contact with the ground as instantaneous axis of rotation. v=rω or v∝r rQ>rC>rP ∵vQ>vC>vP.