Torque to linear acceleration.

Click For Summary

Homework Help Overview

The discussion revolves around a physics problem involving the relationship between torque and linear acceleration for a fridge subjected to a horizontal force while accounting for friction. Participants are tasked with determining the linear acceleration of the fridge and the normal forces at two contact points.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of torque and forces in the context of the problem, with one noting the need for a free body diagram (FBD) to analyze the situation. Questions arise regarding how to relate torque to translational motion and how to differentiate the normal forces at the contact points.

Discussion Status

There is an ongoing exploration of the problem with participants sharing their attempts and questioning the assumptions made. Some guidance has been offered regarding the use of a free body diagram and the need to consider the system's motion, but no consensus or resolution has been reached.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. The problem is noted to involve friction and a non-static system, which complicates the analysis.

Yapper
Messages
101
Reaction score
0
Urgent! Torque to linear acceleration. Please Help!

Homework Statement


Q1: A horizontal force F=1000N is applied on a 120kg fridge as shown below. If
friction is present, what is the magnitude of the fridge linear acceleration, and the
magnitude of the normal forces acting at A and B? (hint: this system is not in
static equilibrium, and any possible axis of rotation is obvious moving). .1 k .2 s friction coefficients the fridge only has contact with the floor at A and B.

[PLAIN]http://img714.imageshack.us/img714/3941/unledee.png

Homework Equations


Torque = r x F

The Attempt at a Solution


Torque from the horizontal force is 1200, torque from point A is .5(Fna), and torque from point B is in the opposite direction = .5(Fnb)

and Fnb + Fna = Fg = 120 * 9.8

I don't know how do figure this problem out at all, any help would be great.
 
Last edited by a moderator:
Physics news on Phys.org


Yapper said:

Homework Statement


Q1: A horizontal force F=1000N is applied on a 120kg fridge as shown below. If
friction is present, what is the magnitude of the fridge linear acceleration, and the
magnitude of the normal forces acting at A and B? (hint: this system is not in
static equilibrium, and any possible axis of rotation is obvious moving). .1 k .2 s friction coefficients the fridge only has contact with the floor at A and B.

[PLAIN]http://img714.imageshack.us/img714/3941/unledee.png



Homework Equations


Torque = r x F


The Attempt at a Solution


Torque from the horizontal force is 1200, torque from point A is .5(Fna), and torque from point B is in the opposite direction = .5(Fnb)

and Fnb + Fna = Fg = 120 * 9.8

I don't know how do figure this problem out at all, any help would be great.

Well, drawing a FBD of the fridge would be a good start. Remember the hint that the fridge is assumed to be in motion...
 
Last edited by a moderator:


I have a free body diagram. But i don't understand how to take that and figure out the linear acceleration and then find out the forces acting on A and B. I mean its not as simple as
1000 - .1(120kg)(9.8) = 120kg * a, a =7.35 m/s?

I need to know how to approach this problem after I have the FBD. how does the torque effect the translational? how do I figure out the differences in the normal forces at A and B since its not in equilibrium.
 


Yapper said:
I have a free body diagram. But i don't understand how to take that and figure out the linear acceleration and then find out the forces acting on A and B. I mean its not as simple as
1000 - .1(120kg)(9.8) = 120kg * a, a =7.35 m/s?

I need to know how to approach this problem after I have the FBD. how does the torque effect the translational? how do I figure out the differences in the normal forces at A and B since its not in equilibrium.

Can you please post your FBD and your equations for the balances of forces and torques?
 


Fy = Fna + Fnb - Fg = 0

Fna + Fnb = Fg

Fx = F - fa - fb = F -.1(Fg)

Fx = 882.4 N ax = 7.35333 m/s^s

T = 1200 + .5Fna - .5Fnb + (fa x r) + (fb x r)

fa = .1Fna

fb = .1Fnb

[PLAIN]http://img198.imageshack.us/img198/3497/unled3t.png
 
Last edited by a moderator:

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
6
Views
3K
  • · Replies 97 ·
4
Replies
97
Views
6K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K