Question

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

• A. $\alpha =ta{n}^{-1}\left(\frac{tan\theta }{e}\right)$
• B. $\alpha =ta{n}^{-1}\left(\frac{cot\theta }{e}\right)$
• C. $\alpha =ta{n}^{-1}\left(\frac{sin\theta }{e}\right)$
• D. $\alpha =ta{n}^{-1}\left(\frac{e}{tan\theta }\right)$

Answer 1

The correct option is A $\alpha =ta{n}^{-1}\left(\frac{tan\theta }{e}\right)$

The velocity in Y - direction will remain same since there is no external force
& velocity in X - direction $=-eVx$

so $\angle {\theta }_1=ta{n}^{-1}\frac{Vy}{eVx}$

$=ta{n}^{-1}\left(\frac{tan\theta }{e}\right)$