Objects Speed og a cylinder and hoop

  • Thread starter Thread starter missnuss
  • Start date Start date
  • Tags Tags
    Cylinder Speed
Click For Summary
SUMMARY

The discussion focuses on calculating the speeds of a cylinder and a hoop at the bottom of a ramp, utilizing the principles of conservation of energy. The moment of inertia for the cylinder is given as I = 1/2 MR², while for the hoop, it is I = MR². The conclusion drawn is that the cylinder will achieve a greater speed than the hoop due to its lower moment of inertia, which allows it to convert more potential energy into kinetic energy as it descends the ramp.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Familiarity with moment of inertia calculations
  • Knowledge of basic physics concepts related to rotational motion
  • Ability to apply equations of motion in inclined planes
NEXT STEPS
  • Study the derivation of speeds for rolling objects using conservation of energy
  • Learn about the differences in moment of inertia for various shapes
  • Explore the effects of friction on rolling motion
  • Investigate real-world applications of rolling motion in engineering
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of rolling objects and energy conservation principles in mechanics.

missnuss
Messages
8
Reaction score
0

Homework Statement



Consider both a cylinder of radius Rc and mass mc and a hoop of radius Rh and mass mh. If both are at top of a ramp of length L and at angle theta, what are the objects speeds at the bottom of the ramp

Homework Equations





The Attempt at a Solution

Well, I think that the cylinder will have the greatest speed at the bottom since I= 1/2MR^2 and the hoop is I=MR^2. I don't really get where to go though since we haven't tackled anything like this, just the above answer I put.
 
Physics news on Phys.org
You have to give the speeds in terms of the given data. Use conservation of energy.

ehild
 

Similar threads

Solve Hoop and Disk Inertia Homework
  • · Replies 6 ·
Replies
6
Views
2K
Speed of Cylinder & Hoop Down Ramp: Analysis
  • · Replies 5 ·
Replies
5
Views
2K
A cylinder of snow rolls down a hill gathering more snow -- calculate its speed
  • · Replies 39 ·
2
Replies
39
Views
4K
Rotational Inertia: Hoop vs Disk
  • · Replies 19 ·
Replies
19
Views
5K
Which Object Will Roll Farther: Solid Cylinder or Hoop on an Incline?
  • · Replies 2 ·
Replies
2
Views
2K
Kinetic Energy of a Cylinder Rolling Without Slipping
  • · Replies 21 ·
Replies
21
Views
5K
Distance the hoop travels up the incline
  • · Replies 3 ·
Replies
3
Views
2K
Speed of cylinder rolling along a horizontal surface gathering snow (Solved)
  • · Replies 13 ·
Replies
13
Views
2K
Rolling 3 objects on an inclined plane
  • · Replies 8 ·
Replies
8
Views
2K
Kinetic energy of a rolling hoop
  • · Replies 1 ·
Replies
1
Views
2K