How Much Force to Overcome a Step with a Wheel?

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To determine the maximum force required for a wheel to climb over a step, one must analyze the torques acting on the wheel at the point of contact with the step. The force applied horizontally at the center of the wheel must create sufficient torque to overcome the gravitational torque due to the wheel's weight. The problem can be approached by considering the potential energy changes as the wheel climbs. Understanding the relationship between the radius of the wheel, its mass, and the height of the step is crucial for calculating the required force. This analysis will lead to the correct expression for the maximum force F.
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Homework Statement



A wheel of radius R and mass M is dragged over a step of height h by force F applied horizontally at its center. What is the maximum value of F required so that the wheel climbs over the step? (Hint: wheel climb is equivalent to a rotation around the point of contact with the step.)

Homework Equations



Not available.

The Attempt at a Solution



I have no idea how to start this. But i would use potential energy perhaps?
 
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Eagle Eyes said:

Homework Statement



A wheel of radius R and mass M is dragged over a step of height h by force F applied horizontally at its center. What is the maximum value of F required so that the wheel climbs over the step? (Hint: wheel climb is equivalent to a rotation around the point of contact with the step.)

Homework Equations



Not available.

The Attempt at a Solution



I have no idea how to start this. But i would use potential energy perhaps?

You're going to want to consider the Σ Torques > 0 needed to pivot over the edge of the step as the hint suggests.
 

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