Impact force exerted on a rolling wheel drop from a height

AI Thread Summary
To determine the impact force exerted on a rolling wheel dropping from a height, the initial vertical velocity needs to be calculated. The user proposes using the relationship between the center of mass velocity and angular velocity, but questions its validity due to the perpendicular nature of rolling and vertical motion. They seek guidance on accurately finding the initial vertical velocity to compute the impact force. Additionally, they consider whether applying energy conservation principles might be a better approach. The discussion emphasizes the need for clarity in relating the motion dynamics to solve for the impact force effectively.
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Homework Statement


[PLAIN]http://img87.imageshack.us/img87/9964/impactforceonbike.png

A roller is rolling with a constant speed before and after the drop. How do i figure out the impact force exerted on the wheel when it just touch the floor from a height h?

Assume, angular velocity before and after dropping are equal, time taken (t) for the dropping motion, height (h=d), mass (m) are measured and known. Final vertical velocity is zero.

The Attempt at a Solution


in the scenario, i need to determine the impact force (F). however, the initial velocity is an unknown since I've no idea how to determine it. I've tried to let initial vertical velocity as:

Vi=Vcenter of mass= r x w

However, i think it should not the right way as assume Vi=Vcenter of mass because the motion of rolling and the vertical velocity are 90 degree.

So how do i actually determine the initial vertical velocity in order to find out my impact force exerts on vertical direction?

thank you so much for your patience and help.
 
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or i should use an energy conservation method?
 
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