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Q.

A sphere of radius R is in contact with a wedge. The point of contact is R5 from the ground as shown in the figure. Wedge is moving with velocity 20  ms-1 towards left, then the velocity of the sphere at this instant will be

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a

20 ms-1

b

15 ms-1

c

16 ms-1

d

12 ms-1

answer is B.

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Detailed Solution

cosθ=4R/5R=0.8

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v1v2=tanθ=tan37°=34

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  v1=34v2=34×20 =15 m/s

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A sphere of radius R is in contact with a wedge. The point of contact is R5 from the ground as shown in the figure. Wedge is moving with velocity 20  ms-1 towards left, then the velocity of the sphere at this instant will be