question_answer

A sphere of radius R is in contact with a wedge. The point of contact is R/5 from the ground as shown in the figure. Wedge is moving with velocity 20 m/s, then the velocity of the sphere at this instant will be:

A) 20 m/s

B) 15 m/s

C) 5 m/s

D) 10 m/s

Correct Answer: B

Solution :

\[20\,\,\sin 37=V\,\,cos37\]

\[V=20\,\,\tan 37\]

\[V=20\times \frac{3}{4}\]

\[V=15\,\,m/s\]