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Question

Question: As shown in the figure, a rod is placed on a horizontal surface with one end hinged and a ball movin...

As shown in the figure, a rod is placed on a horizontal surface with one end hinged and a ball moving with speed 5 m/s strikes it perpendicularly at the other end. If after the collision, rod starts rotating with angular speed 2 rad/s and the ball returns along the same path with 1.5 m/s, then coefficient of restitution for the collision is

A

0.25

B

0.4

C

0.5

D

1

Answer

0.5

Explanation

Solution

Velocity of separation

Lω + 1.5 m/s = 2.5 m/s

e=2.55=0.5e = \frac{2.5}{5} = 0.5

Velocity of approach and separation are calculated by using velocities of the points of collision on the objects.