Thin ring rolling down a moving ramp

  • Thread starter Thread starter darkdraggy
  • Start date Start date
  • Tags Tags
    Ramp Ring Rolling
AI Thread Summary
A thin ring with a mass of 500kg and a radius of 0.5m rolls down a frictionless ramp with a mass of 300kg at a 30-degree angle. The user initially calculated the ring's acceleration using angular momentum principles but found discrepancies when applying linear momentum conservation to determine the ramp's acceleration. Despite incorporating mass into the equations, the user received an incorrect result. The correct acceleration of the ramp, as per the book, is 1.7336. Assistance is requested to identify the error in the calculations.
darkdraggy
Messages
3
Reaction score
0

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
 
Physics news on Phys.org
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?
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »

Similar threads

Why is the direction of kinetic/static friction up a ramp?
Replies
7
Views
1K
A ball climbing a ramp while "rolling the wrong way"
Replies
32
Views
3K
Is this formula for a ball rolling down a ramp incorrect?
Replies
10
Views
3K
Calculating air resistance for a cart rolling down a ramp
Replies
8
Views
2K
A polygon is rolling down a hill
Replies
3
Views
1K
Calculating acceleration of ball rolling down ramp
Replies
6
Views
12K
Rolling down a ramp - find acceleration
Replies
1
Views
2K
Final velocity of a car rolling down a ramp using energy
Replies
1
Views
3K
Rolling without slipping problem
Replies
42
Views
3K
Sphere rolling down incline then up incline?
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top