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Question: A smooth steel ball strikes a fixed smooth steel plate at an angle q with the vertical. If coefficie...

A smooth steel ball strikes a fixed smooth steel plate at an angle q with the vertical. If coefficient of restitution is e, the angle at which the rebounce will take place is :

A

q

B

tan–1[tanθe]\left\lbrack \frac{\tan\theta}{e} \right\rbrack

C

e tan q

D

tan–1[etanθ]\left\lbrack \frac{e}{\tan\theta} \right\rbrack

Answer

tan–1[tanθe]\left\lbrack \frac{\tan\theta}{e} \right\rbrack

Explanation

Solution

v'cos a = evcos q

v' sina = vsin q

Ž a = tan–1(1etanθ)\left( \frac{1}{e}\tan\theta \right)