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Homework Statement
Homework Equations
The Attempt at a Solution
I have dealt with the case when the wall is frictionless and the rolling ball collide with it but I am not sure how to proceed here. When the ball comes in contact with the wall, the friction due to wall acts in the vertically upward direction for a very short time. Hence,
$$\int fR\,dt=I(\omega_f\omega_i)$$
and
$$\int f\,dt=mv_i$$
where ##f## is the friction due to wall and ##R## is the radius of ball. How do I relate ##v_i##, ##\omega_f## and ##\omega_i##? (where ##v_i## is the velocity acquired by ball in vertically upward direction.)
Also, which angle does the problem talks about? Is it the angle made by line joining the intersection of wall and floor with centre of ball and the ground?
Any help is appreciated. Thanks!
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