Rolling cylinder on an incline

Click For Summary

Homework Help Overview

The problem involves a cylinder rolling down an incline from a height h, with the goal of determining its linear velocity, linear momentum, and angular momentum at the bottom of the hill. The subject area includes concepts from dynamics and rotational motion.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to calculate the linear velocity and angular momentum but expresses uncertainty about their correctness and the linear momentum. Some participants question the necessity of the angle in the calculations, while others suggest looking into the definitions of angular momentum and the relationship between linear and angular quantities.

Discussion Status

Participants are exploring different interpretations of the problem, particularly regarding the role of the angle in the calculations. Some guidance has been offered regarding the definitions of momentum and the relationship to the center of mass, but no consensus has been reached on the correct approach or values.

Contextual Notes

There is a mention of needing to express all quantities in terms of M, R, and h, and the angle theta is not provided, which raises questions about its relevance to the problem.

andrewp7
Messages
4
Reaction score
0
A cylinder of a mass M and a radius R starts at the top of a hill at a height h, and rolls to the bottom. At the bottom of the hill, what is its linear velocity, linear momentum, and angular momentum?


I believe the the velocity is sqrt((4/3)gh) and the the angular momentum is mvsin(theta) but I am not sure if those are right and I still d not know the linear momentum
 
Physics news on Phys.org
You have to give all quantities in terms of M, R, and h. Theta is not given. Look after the definition of angular momentum, it is not mvsin(theta). The linear momentum is the same as the momentum of the CM of the cylinder.

ehild
 
wouldn't I need some type of angle because it is on an incline?
 
Do you? You got the speed without the angle, don't you? How did you got it? Using what law?

ehild
 

Similar threads

A cylinder of snow rolls down a hill gathering more snow -- calculate its speed
  • · Replies 39 ·
2
Replies
39
Views
4K
Why Is Deriving the Motion Formula for Hoops More Complex?
  • · Replies 4 ·
Replies
4
Views
1K
Kinetic Energy of a Cylinder Rolling Without Slipping
  • · Replies 21 ·
Replies
21
Views
5K
Speed of cylinder rolling along a horizontal surface gathering snow (Solved)
  • · Replies 13 ·
Replies
13
Views
2K
Constraints on a hoop rolling on a cylinder
  • · Replies 1 ·
Replies
1
Views
3K
Rolling without slipping problem
  • · Replies 42 ·
2
Replies
42
Views
4K
Friction Required for Billiard Ball to Roll without Slipping
  • · Replies 60 ·
3
Replies
60
Views
5K
Billiard Ball, Conservation of Angular Momentum, Force below CM point
  • · Replies 6 ·
Replies
6
Views
1K
Rolling without slipping down an inclined plane
  • · Replies 18 ·
Replies
18
Views
6K
Wooden sphere rolling on a double metal track
  • · Replies 97 ·
4
Replies
97
Views
6K