Thin ring rolling down a moving ramp

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Homework Help Overview

The problem involves a thin ring (pipe) rolling down a ramp that is free to move horizontally. The ring has a mass of 500 kg and a radius of 0.5 m, while the ramp has a mass of 300 kg and is inclined at an angle of 30 degrees. The objective is to determine the acceleration of the ramp while considering the dynamics of the system.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the acceleration of the ramp using principles of angular momentum and linear conservation of momentum. They express confusion about their results, particularly regarding the application of mass in their equations.

Discussion Status

Participants are engaging with the original poster's attempts, with one member noting a potential oversight regarding the inclusion of masses in the equations. The discussion is ongoing, with participants seeking clarification and assistance without reaching a consensus on the correct approach yet.

Contextual Notes

The problem is set within a homework context, and there may be constraints related to the methods allowed for solving the problem, as well as the need for participants to adhere to academic integrity guidelines.

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Homework Statement


A pipe(thin ring)has a mass of 500kg and radius of 0.5m and rolls without slipping down a 300kg ramp. If the ramp is free to move horizontally(frictionless, determine the acceleration of the ramp. (angle of ramp is 30 degrees)


Homework Equations


Fs (static friction) = Resultant torque
Linear conservation of momentum(in horizontal axis)


The Attempt at a Solution



I am trying to get the acceleration of the ramp, i found the acceleration of the pipe using Principle of Angular momentum and I got Ap = 2.4525.

I then used the linear conservation of momentum which is 0 = (Vpcos30 - Vramp)i
then i differentiated both sides to get 0.866Ap - Aramp = 0 (cos30 = 0.866) which I then used to attempt to get Aramp. But my answer turned out to be wrong. What am i doing wrong here? any help? the solution in my book is Aramp = 1.7336
 
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welcome to pf!

hi darkdraggy! welcome to pf! :smile:
darkdraggy said:
I then used the linear conservation of momentum which is 0 = (Vpcos30 - Vramp)i

erm :redface: …

masses! :wink:​
 
hello! i did use them in my equation but i did not get a correct answer.

help anyone please? :(
 
Last edited:
darkdraggy said:
hello! i did use them in my equation but i did not get a correct answer.

help anyone please? :(


anybody can help?
 

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