Calculating Tension and Friction in a Pulley System

AI Thread Summary
The discussion focuses on calculating tension and friction in a pulley system involving two masses, with specific values provided for mass, gravitational force, and friction. The user attempts to derive the tension using the equations of motion but arrives at a tension value of 4.4 N, while the expected answer is 4.2 N. Participants suggest drawing a diagram to visualize the forces acting on each mass, emphasizing the importance of setting up two equations based on the forces involved. They highlight the need to accurately account for gravitational force and friction in the calculations. Overall, the conversation aims to clarify the correct approach to solving the problem.
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Pulley Tension friction help??

Homework Statement



6533043261_33117fa1e7.jpg

http://www.flickr.com/photos/72384417@N06/6533043261/ by LiFK1, on Flickr

Mass1 = 0.750 kg
Mass2 = 0.52 kg
Fk=2.1 N
g= 9.8 N


Homework Equations



F=ma
Mass1(gravity)= (Mass1+mass2)Acceleration
T + m2g - fk = (m1 + m2)a

The Attempt at a Solution


Mass1(gravity)= (Mass1+mass2)Acceleration
7.35=(0.750kg+0.52kg)A
5.787 N = A

T + m2g - fk = (m1 + m2)a
T + 0.52kg(9.8)-2.1=1.27(5.78)
T = 4.35 N
rounded up T = 4.4N

Apparently the answer to this is 4.2 N, but i can't seem to get it.
Can someone tell me what I am doing wrong?
thanks in advance.
 
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You should draw a diagram showing the forces acting on each object.
The weight has 2 forces it's weight = 0.75 x 9.81 and the tension in the string
The cart has 2 forces the tension in the string and friction.
If you look at these 2 situations you should get 2 equations that enable you to calculate the acceleration and the Tension in the string.
Hope this helps.
 
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