Question

A solid uniform ball of mass m and radius R collides elastically with a rough fixed inclined surface as shown. Velocity and angular velocity of ball just before collision are $V_0$ and $\omega_0 = \frac{5V_0}{R}$. Choose correct option(s)

• A. If $\mu = \frac{3}{4}$ then the velocity of ball just after collision is vertically upwards.
• B. If $\mu = \frac{3}{4}$ then the velocity of ball just after collision is horizontal leftwards.
• C. If $\mu = \frac{3}{4}$ then angular velocity after collision is $\frac{2V_0}{R}$.
• D. If $\mu = \frac{3}{4}$ then velocity of ball after collision is $V_0$.

Answer 1

Answer: (A), (C)

If $\mu = \frac{3}{4}$ then the velocity of ball just after collision is vertically upwards., If $\mu = \frac{3}{4}$ then angular velocity after collision is $\frac{2V_0}{R}$.

Answer 2

Assuming the provided options are correct, with $\mu = \frac{3}{4}$, the velocity of the ball just after collision is vertically upwards, and the angular velocity after collision is $\frac{2V_0}{R}$. Our calculations do not support this and indicate an error in the problem statement or options.