Finding the Threshold Force for a Bike Wheel and Step to Lose Contact

  • Thread starter Thread starter plutonium
  • Start date Start date
  • Tags Tags
    Bike Wheel
Click For Summary

Homework Help Overview

The problem involves a bike wheel interacting with a step, focusing on the conditions under which the wheel loses contact with the ground as a horizontal force is applied. The subject area includes concepts from mechanics, specifically torques and forces acting on rigid bodies.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to analyze the problem using torques and considers the roles of the weight of the wheel and the normal force from the step. They express confusion about the pivot point and the application of forces. Other participants suggest focusing on the pivot point and the torque that the horizontal force must overcome.

Discussion Status

Participants are actively engaging with the problem, raising questions about the pivot point and torque considerations. Hints have been provided to guide the original poster towards a more productive analysis, though no consensus or resolution has been reached.

Contextual Notes

The original poster mentions uncertainty about the initial steps to take and the relationship between the height of the step and the radius of the wheel, indicating potential constraints in their understanding of the problem setup.

plutonium
Messages
15
Reaction score
1
The drawing shows a bike wheel resting against a small step whose height is h=0.120m. The weight and radius of the wheel are W = 25.0N and r = 0.340m. A horizontal force F is applied ot eh axle of the weehl. 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 do not even know where to start. I tried to think of torques, but Fg acts on the center of the wheel, whose distance is 0 from the radius. I also tried to think of a normal force exerted by the step, but that just got really weird. Finally, I thought about friction from the floor below the step, but it didin't work out as well.

And the other problem was the force exerted by the horizontal force, which is also 0 from the radius since it acts directly on the axle.

And as an extention, can I prove that the height of the step must be between 0 and the radius of the wheel?
 
Physics news on Phys.org
Here's a hint: When the wheel begins to rise up, about what point is it pivoting? (It's not the center of the wheel.)
 
Glad I found this. I'm doing the exact same problem out of the Cutnell Physics 7th Ed text. I get that there is a pivot point, but what the heck do I do? This problem is wracking my brains. Can anyone suggest what to start with? Once I get a hint I can probably piece it together. Much appreciated, thanks!
 
Hint: What torque must the horizontal force overcome?
 

Similar threads

  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
6K
Replies
1
Views
5K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 13 ·
Replies
13
Views
7K
  • · Replies 121 ·
5
Replies
121
Views
12K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
21
Views
11K