A pendulum bob of mass connected to the end of an ideal string of length is released from rest from horizontal position as shown in Fig.
At the lowest point, the bob makes an elastic collision with a stationary block of mass 5 , which is kept on a frictionless surface. Mark out the correct statement(s) for the instant just after the impact
a) |
Tension in the string is |
b) |
Tension is the string is |
c) |
The velocity of the block is |
d) |
The maximum height attained by the pendulum bob after impact is (measured from the lowest position) |
A pendulum bob of mass connected to the end of an ideal string of length is released from rest from horizontal position as shown in Fig.
At the lowest point, the bob makes an elastic collision with a stationary block of mass 5 , which is kept on a frictionless surface. Mark out the correct statement(s) for the instant just after the impact
a) |
Tension in the string is |
b) |
Tension is the string is |
c) |
The velocity of the block is |
d) |
The maximum height attained by the pendulum bob after impact is (measured from the lowest position) |
(a,d)
The velocity of bob just before the impact is along the horizontal direction
From momentum conservation,
From coefficient of restitution equation,
Solving above equations, we get
For tension in string,
Let the maximum height attained by the bob be , then