Max Angle of Rolling Solid Cylinder on Inclined Plane | CaptFormal

  • Thread starter Thread starter CaptFormal
  • Start date Start date
  • Tags Tags
    Block Material
AI Thread Summary
A block begins to slide on an inclined plane at an angle of 12.95°, indicating that the surface has friction. To determine the maximum angle for a solid cylinder to roll without slipping, the frictional force and torque must be analyzed. The condition for the block to remain at rest involves balancing forces and torques. The discussion focuses on deriving expressions for frictional force and torque on the cylinder. Understanding these concepts is crucial for solving the problem effectively.
CaptFormal
Messages
31
Reaction score
0

Homework Statement


A block of a certain material begins to slide on an inclined plane when the plane is inclined to an angle of 12.95°. If a solid cyclinder is fashioned from the same material, what will be the maximum angle at which it will roll without slipping on the plane?


Homework Equations





The Attempt at a Solution


I really don't know how to even start this problem. Any help will be appreciated. Thanks.

-CaptFormal
 
Physics news on Phys.org
Since the block slides when the angle of of inclination θ, the surface is not frictionless.
So what is the expression of frictional force Fr?
If the block remains at rest on the inclined plane, what is the condition?
In the case of cylinder, linear motion of the center of mass must be zero and torque due to Fr should be zero. What is the expression of the torque on a cylinder?
What is the torque on the cylinder due to Fr?
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »

Similar threads

Rolling Down an Off Center Cylinder on an Incline
Replies
2
Views
1K
Is the Block Moving Horizontally or Perpendicularly on the Inclined Plane?
Replies
3
Views
2K
A block lies on an inclined plane with an angle of elevation
Replies
16
Views
5K
Max Angle for Block to Roll Without Slipping: 29.24°
Replies
6
Views
3K
Ratio of acceleration of two solid cylinders released on two inclined planes
Replies
22
Views
2K
Rolling cylinder or slipping cylinder reaches bottom first?
Replies
5
Views
4K
Question Concerning The Coefficient of Friction: Block on a Rough Inclined Plane
Replies
5
Views
2K
Which sphere reaches the bottom of the inclined plane first
Replies
19
Views
4K
What Determines the Maximum Slope Before a Cylinder on an Incline Moves?
Replies
23
Views
4K
How to Determine Angular Velocity of a Rolling Sphere on an Inclined Plane?
Replies
11
Views
3K

Hot Threads

Recent Insights

Back
Top