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Question

Physics Question on System of Particles & Rotational Motion

A sphere is rolling without slipping on a fixed horizontal plane surface In the figure, A is the point of contact. B is the centre of the sphere and C is its topmost point. Then,

A

VCVA=2(VBVC)V_C-V_A=2(V_B-V_C)

B

VCVB=VBVAV_C-V_B=V_B-V_A

C

VCVA=2VBVA|V_C-V_A|=2|V_B-V_A|

D

VCVA=4VB|V_C-V_A|=4|V_B|

Answer

VCVA=2VBVA|V_C-V_A|=2|V_B-V_A|

Explanation

Solution

vA=0,vB=vv_A = 0, v_B = v and vC=2vv_C = 2v