F = Minimum Force Required to Lift Bicycle Wheel off Ground

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Homework Help Overview

The problem involves analyzing the forces acting on a bicycle wheel resting against a step, with a focus on determining the minimum force required to lift the wheel off the ground. The subject area includes concepts from mechanics, specifically forces, torques, and equilibrium conditions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the direction and components of the normal force acting on the wheel and how it interacts with the weight of the wheel. There are questions about incorporating torque into the analysis and the conditions necessary for the wheel to begin lifting.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the problem, including the forces involved and their directions. Some guidance has been offered regarding the relationship between the forces and the conditions for upward movement, but no consensus has been reached on a specific approach or solution.

Contextual Notes

Participants are working within the constraints of the problem as presented, including the specific values for height, weight, and radius of the wheel. There is an emphasis on understanding the forces and torques without providing a complete solution.

leezak
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The figure shows a bicycle wheel resting against a small step whose height is h = 0.110 m. The weight and radius of the wheel are W = 29.0 N and r = 0.350 m. A horizontal force F is applied to the axle of the wheel. As the magnitude of F increases, there comes a time when the wheel just begins to rise up and loses contact with the ground. What is the magnitude of the force when this happens?

I drew a diagram, yet I'm not even sure how to start this problem... help please! thanks!
 
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What direction is the normal force from the step acting? What component is vertical? How will this affect the normal force on the ground?
 
the normal force from the step is acting horizontally towards the wheel and the vertical components are the weight (29 N) and the Normal force from the ground. what do i do with this info? do i somehow incorporate the torque equation?
 
Since the step is not applying a force towards the center of mass, there is a torque created about the step. You step therefore applies an upwards force on the tire too. That's the one I asked you to find.
 
i'm not sure how to find that
 
okay so i got that the angle is 34.44 degrees and that the force going up is (Normal force of the step)(sin34.44) right? am i then supposed to find the sum of the forces or something?
 
Yup so for the wheel to start moving up, it needs to have a net force in the upward direction. From your FBD you ahve the force of gravity and now the Normal force of the step, so these are your vertical forces. Under what condition will the net force be upwards?
 

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