Finding Maximum θ for Apparatus Not to Roll Right

In summary, the diagram shows a solid cylinder attached to two disks placed on a surface that can roll but not slip. A thread is wound around the central cylinder and when pulled at an angle of 90 degrees, the apparatus rolls to the right. The question is asking for the largest value of theta at which it will not roll to the right. The equation used is torque = force x radius x sine of the angle. The friction force may also contribute to the torque.
  • #1
usamo42j
10
0

Homework Statement


The apparatus in the diagram consists of a solid cylinder of radius 1 cm attached at the center to two disks of radius 2 cm. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle θ = 90◦ to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of θ for which it will not roll to the right when pulling on the thread?

The figure can be found at www.aapt.org/physicsteam/2012/upload/WebAssign-exam1-2011-1-4.pdf (Problem 13)

Homework Equations


τ=Fr sinθ
I'm not sure about others; maybe the ones relating angular/translational kinematics


The Attempt at a Solution



I'm confused. Isn't the only torque caused by the force on the thread, so wouldn't the discs always roll to the right?...
 
Physics news on Phys.org
  • #2
hi usamo42! :smile:
usamo42j said:
Isn't the only torque caused by the force on the thread, so wouldn't the discs always roll to the right?...

what about the torque of the friction force? :wink:
 

1. What is the purpose of finding the maximum θ for apparatus not to roll right?

The purpose of finding the maximum θ for apparatus not to roll right is to determine the angle at which an object will begin to roll instead of slide when placed on an inclined plane. This is important in understanding the stability and balance of objects on inclined surfaces.

2. How is the maximum θ determined?

The maximum θ is determined by conducting experiments on an inclined plane with various angles and measuring when the object begins to roll instead of slide. This angle is then recorded as the maximum θ for that particular apparatus.

3. What factors affect the maximum θ for apparatus not to roll right?

The maximum θ for apparatus not to roll right can be affected by various factors such as the weight and shape of the object, the surface of the inclined plane, and the coefficient of friction between the object and the surface.

4. Why is it important to find the maximum θ for apparatus not to roll right?

It is important to find the maximum θ for apparatus not to roll right in order to understand the stability and balance of objects on inclined surfaces. This information can also be used in engineering and design to ensure the safe and stable placement of objects on inclined planes.

5. How can the maximum θ for apparatus not to roll right be applied in real life?

The knowledge of the maximum θ for apparatus not to roll right can be applied in various real-life situations such as designing ramps and slopes for wheelchairs or vehicles, constructing stable structures on sloped terrain, and understanding the behavior of objects on inclined surfaces in sports and recreational activities.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
9
Views
1K
Replies
37
Views
2K
  • Introductory Physics Homework Help
Replies
12
Views
3K
  • Introductory Physics Homework Help
2
Replies
49
Views
7K
  • Introductory Physics Homework Help
Replies
8
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
17
Views
11K
Back
Top