Calculating tension of objects with a pulley on an incline

AI Thread Summary
To calculate the tension in a pulley system with two masses on an incline, the equations of motion for each mass must be established. The user started with the 5 kg mass, applying the formula Ft - Fg2sin60 = ma, leading to Ft - 49sin60 = 5a, but encountered a negative acceleration. For the 6 kg mass, the same approach applies, but the acceleration should be negative. This indicates the need for careful consideration of direction when setting up the equations. Understanding the forces acting on both masses is crucial for solving the problem accurately.
yummallory
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Homework Statement


Calculate the tension in the cable connecting the two masses. Assume all surfaces are frictionless.

http://tinypic.com/r/20jg36s/7

Homework Equations





The Attempt at a Solution


I tried to begin the solution but came out with a negative acceleration (-2m/s^2)
For the 5 kg mass:
Ft-Fg2sin60=ma
Ft-(5)(9.8)sin60=5a
Ft-49sin60=5a
I wasn't sure how to get the equation for the 6 kg mass...
 
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welcome to pf!

hi yummallory! welcome to pf! :smile:

(have a degree: ° and try using the X2 icon just above the Reply box :wink:)
yummallory said:
For the 5 kg mass:
Ft-Fg2sin60=ma
Ft-(5)(9.8)sin60=5a
Ft-49sin60=5a
I wasn't sure how to get the equation for the 6 kg mass...

same way, but with -a instead of a :wink:
 
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