How Do You Calculate Tension in a Frictionless Pulley System?

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Homework Help Overview

The problem involves calculating the tension in a cable connecting two masses in a frictionless pulley system, with specific angles and mass values provided.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the setup of equations for each mass, with one participant expressing confusion about the negative acceleration obtained. Another questions the complexity of the equation for the 6 kg mass compared to the 5 kg mass, suggesting that similar principles apply.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to relate the tensions and accelerations. Some guidance has been offered regarding the forces acting on the masses, but no consensus has been reached on the correct method to proceed.

Contextual Notes

Participants are working under the assumption that all surfaces are frictionless, and there may be confusion regarding the angles and their impact on the calculations.

Arnoldjavs3
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1. Homework Statement
Calculate the tension in the cable connecting the two masses. Assume all surfaces are frictionless.

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

2. Homework Equations



3. 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...
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
 
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Why would the equation for the 6 kg mass be more difficult than that of the 5 kg one? The same principles apply. Just make sure you relate the string tensions and accelerations properly according to your conventions and you should be able to solve it.
 
But I'm on the right path here?
 
Get Fg1 * sin(60 degrees) and Fg2 * sin(70 degrees) and then determine the magnitude and direction of the tension force.
 

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