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A disc is rolling without slipping on horizontal surface as shown in figure. Point C is the centre of disc. Point A and B are equidistant from centre of disc. Let V_A, V_C and V_B are linear velocities of points A, B and C respectively. Then the relation between V_A, V_B and V_C is:

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V_A > V_B > V_C

V_A > V_C > V_B

V_B > V_C > V_A

V_A < V_B < V_C

answer is B.

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Detailed Solution

In case of pure rolling, all points on the disc instantaneously rotate about the point of contact. The more the distance of the point from point of contact, the more is its velocity hence, $v_{A} > v_{C} > v_{B}$ .

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