A Solid Cylinder rolling down a ramp

In summary, the conversation discusses a solid cylinder rolling down a ramp without slipping and the effect of a slippery surface on its speed. The equations PE+KE = PE+KE, mgh = 1/2IW^2+1/2mv^2, and F=ma are mentioned, along with the force formula f = mgsin(theta)/(1+mR^2/Icm). The question is raised about the cylinder's speed when the friction decreases due to rain, and the difficulty in solving this problem. It is asked whether the cylinder will go faster or slower in this scenario.
  • #1
Miu.
1
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. @_@
 
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  • #2
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?
 

Related to A Solid Cylinder rolling down a ramp

What factors affect the speed of a solid cylinder rolling down a ramp?

The speed of a solid cylinder rolling down a ramp is affected by the mass of the cylinder, the angle of the ramp, and the surface friction between the ramp and the cylinder.

How does the shape of the ramp affect the motion of a solid cylinder rolling down it?

The shape of the ramp can affect the motion of a solid cylinder by changing the angle of the incline, which can increase or decrease the speed of the cylinder.

What is the relationship between the diameter of the cylinder and its rolling speed down a ramp?

The diameter of the cylinder does not have a direct relationship with its rolling speed down a ramp. However, a larger diameter may result in a greater rotational inertia and slower acceleration down the ramp.

How does friction play a role in the motion of a solid cylinder rolling down a ramp?

Friction between the ramp and the cylinder can slow down the motion of the cylinder, as it converts some of the potential energy into heat energy. However, too much friction can cause the cylinder to stop rolling altogether.

What is the difference between a solid cylinder rolling down a ramp and a hollow cylinder rolling down a ramp?

A solid cylinder will have a greater moment of inertia and will roll down the ramp more slowly compared to a hollow cylinder with the same mass. This is because the mass is more spread out in a hollow cylinder, resulting in a smaller moment of inertia and faster rolling speed.

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