Torque to linear acceleration.

AI Thread Summary
The discussion centers on calculating the linear acceleration of a fridge subjected to a horizontal force of 1000N while accounting for friction and torque. A free body diagram (FBD) is essential for visualizing the forces and torques acting on the fridge, which is not in static equilibrium. The equations of motion and torque must be balanced to determine the normal forces at points A and B, as well as the fridge's acceleration. The user expresses confusion about how to relate torque to translational motion and the differences in normal forces due to the system's dynamics. Properly applying the equations of motion and torque relationships will lead to the solution for linear acceleration and normal forces.
Yapper
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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:
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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:
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