A man of mass m stands on a flat horizontal disc (mass M, radius R) near its edge. The disc is free to rotate without friction about its central axis. At a certain instant the man begins to walk around the disc with a constant velocity v with respect to the ground.
If his feet do not slip on the disc, how long will it take him to return to the same point on the disc? Express your answer as a function of R, M, m and v
Once he gets to the starting point, he stops walking. How long after he stops walking will it take the disc to stop turning?Explain
The disc and the man are both stationary. If he walks in towards the centre of the disc, with a velocity u, how fast will the disc turn?Explain.
The man again stands at the edge of the disc at rest. A ball of mass m/4 is thrown to him with velocity v tangent to the rim of the disc. He catches the ball. How fast does the disc turn? Express your answer as a function of R, M, m and v.
Already registered? Login
Not Account? Sign up
Enter your email address to reset your password
Back to Login? Click here