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Question


A disk is rolling [pure] on a flat surface. Match for radius of curvatures of various points A, B, C & D on disk. R is radius of disk & OC=R2
(P)Point A(1)Below C(Q)Point B(2)Above A(R)Point C(3)4 R(S)Point D.(4)0(5)0.5 R

A
P 3, Q 1, R 5, S 4,
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B
P 5, Q 1, R 2, S 4,
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C
P 2, Q 1, R 5, S 4,
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D
P 3, Q 1, R 5, S 2,
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Solution

The correct option is A P 3, Q 1, R 5, S 4,
Centripetal acceleration of any point on disc is ac=w2r here r is distance of point from 0.
Also ac=v2prc here vp is velocity of point from ground & rc is radius of curvature.
also V = RW
Point A Vp = 2 V W2R=4V2rcrc=4R
Point B Vp = 32 V W2R2=94V2rcrc=92R
Point C Vp = V2 W2R2=V24rcrc=0.5 R
For point D Vp=0rc=0

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