A slender rod CDE of length L and mass m is attached to a pin support at its midpoint D. A second and identical rod AB is rotating about a pin support at A with an angular velocity ω1 when its end B strikes end C of rod CDE. Denoting by e the coefficient of restitution between the rods, determine the angular velocity of each rod immediately alter the impact.

**Step 1**

Given data

*Mass of the rod = m*

*Coefficient of restitution = e*

To draw the impulseâ€“momentum diagrams that are needed to determine the angular velocity of each rod immediately after the impact.

**Step 2**

Momenta diagram for the rod AB

Apply momenta principle before impulse, at the impulse and after the impulse

**Step 3**

Momenta diagram for the rod CD

Considering the moment at D and substitute impulse equation in (1)

Equation for angular velocity of the rod AB

**Step 4**

Calculation of angular velocity of the rod CE

Calculation of angular velocity of the rod AB