Impact force exerted on a rolling wheel drop from a height

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SUMMARY

The discussion focuses on calculating the impact force exerted on a rolling wheel when dropped from a height (h). The roller maintains a constant speed before and after the drop, and the key parameters include angular velocity, time of drop (t), height (h), and mass (m). The user seeks to determine the initial vertical velocity (Vi) to compute the impact force (F), expressing uncertainty about the relationship between rolling motion and vertical velocity. The conversation suggests considering energy conservation methods as a potential solution.

PREREQUISITES
  • Understanding of basic physics concepts, particularly dynamics and kinematics.
  • Familiarity with angular velocity and its relation to linear velocity.
  • Knowledge of energy conservation principles in mechanics.
  • Ability to apply Newton's laws of motion to solve for forces.
NEXT STEPS
  • Calculate initial vertical velocity using the relationship Vi = r x w, where r is the radius and w is the angular velocity.
  • Explore energy conservation methods to relate potential energy at height h to kinetic energy just before impact.
  • Research the equations of motion for a rolling object to better understand the dynamics involved.
  • Investigate the impact force formula, F = m * a, and how to derive acceleration from the drop height and time.
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in dynamics and impact analysis of rolling objects.

MechaMZ
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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.
 
Last edited by a moderator:
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or i should use an energy conservation method?
 

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