A Solid Cylinder rolling down a ramp

Click For Summary
SUMMARY

The discussion focuses on the dynamics of a solid cylinder rolling down a ramp without slipping, specifically examining the effects of a slippery surface on the cylinder's motion. Key equations include the conservation of energy, represented as PE + KE = PE + KE, and the force equation F = ma, with frictional force expressed as f = mgsin(theta)/(1 + mR^2/Icm). The participants explore how reduced friction due to rain affects the cylinder's acceleration and speed, concluding that decreased friction results in increased speed.

PREREQUISITES
  • Understanding of rotational dynamics and moment of inertia (I)
  • Familiarity with the conservation of energy principle in physics
  • Knowledge of Newton's second law (F = ma)
  • Basic concepts of friction and its role in motion
NEXT STEPS
  • Study the effects of friction on rolling motion in physics
  • Learn about the moment of inertia for different shapes, including cylinders
  • Explore the conservation of mechanical energy in non-conservative systems
  • Investigate the impact of surface conditions on rolling objects
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of motion and dynamics related to rolling objects.

Miu.
Messages
1
Reaction score
0
1.A solid cylinder rolling down a ramp without slipping.

if the surface were slippery, would the time increase or dcrease.



2. PE+KE = PE +KE
mgh = 1/2IW^2+1/2mv^2
F=ma
f= mgsin(theta)/(1+mR^2/Icm)


3. Apperantly this question has several parts. The previous ones were related to the equations on top. This should also relate to the force, since the friction of the ramp will decrease due the the rain. I am really not sure how to start this problem. @_@
 
Physics news on Phys.org
Miu. said:
3. Apperantly this question has several parts. The previous ones were related to the equations on top. This should also relate to the force, since the friction of the ramp will decrease due the the rain. I am really not sure how to start this problem. @_@

Since the friction decreases, do you think the cylinder will be going faster or slower?
 

Similar threads

Moment of inertia problem involving a cylinder rolling down an incline
  • · Replies 11 ·
Replies
11
Views
3K
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
A cylinder of snow rolls down a hill gathering more snow -- calculate its speed
  • · Replies 39 ·
2
Replies
39
Views
4K
Is this formula for a ball rolling down a ramp incorrect?
  • · Replies 10 ·
Replies
10
Views
3K
Sphere rolling down an incline problem.
  • · Replies 7 ·
Replies
7
Views
6K
Cylinder Rolling Down an Incline Without Slipping
  • · Replies 7 ·
Replies
7
Views
4K
Wooden sphere rolling on a double metal track
  • · Replies 97 ·
4
Replies
97
Views
6K
Velocity of a hollow cylinder at the bottom of an incline
  • · Replies 9 ·
Replies
9
Views
4K
Sphere rolling down incline then up incline?
  • · Replies 5 ·
Replies
5
Views
2K