- #1
Mooy
- 2
- 0
- Homework Statement
- Show that the velocity of the centre mass of the body is zero immediately after impact if the following equation holds.
b^2=(e•l^2)/12
Note: The head is released from rest and the only force acting on the head during impact is at point A
- Relevant Equations
- KE=0.5mv^2
GPE=mgh
V=rω
I=(ml^2)/12
I calculated that the velocity of the head prior to the collision is sqrt(2gh), as all of the gravitational potential energy is converted to kinetic energy.
And I believe the velocity at point A after the collision is given by the formula vf=e•sqrt(2gh), with e representing the coefficient of restitution. As the ground does not change in velocity during the collision.
I believe that the head is meant to be treated as a rod with a moment of inertia of (ml^2)/12.
I’m unsure how to go about getting the centre of mass to have zero velocity, any help would be greatly appreciated