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**Discussion and hints**

The four-step plan:

It is recommended that you draw a free body diagram of the plate and cart combined.**FBD**:: Your FBD should show that the summation of forces in the direction of motion for the cart (call that the**Kinetics***x*-direction) is zero; therefore, linear momentum in the*x*-direction is conserved for ALL time. Also note that energy is conserved up to the point of impact. During impact, energy is not conserved; however, you are given the coefficient of restitution (COR) for the impact.: Write down the rigid body velocity equation relating the motion of points O and the plate's center of mass G. Here you will use the fact that the cart moves only in the**Kinematics***x*-direction.**Solve**

how to calculate the angular velocity of the plate before impact

I might be wrong but I used the kinematics equation with finding the acceleration of a point relative to another on the body to find the angular velocity.