How Do You Solve Tension Problems with Friction and Acceleration?

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The discussion centers on solving tension problems involving friction and acceleration in a physics homework context. Participants emphasize the importance of completing part b before attempting part c, as the solutions are interconnected. A specific equation for tension, Tc, is derived from the relationship between mass, acceleration, and gravitational force, but clarity on the sign convention is necessary. The use of free body diagrams is recommended to visualize forces and ensure consistent reasoning throughout the problem-solving process. Overall, understanding the derivation and maintaining a consistent sign convention are crucial for accurately solving the tension problem.
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Homework Statement


See image attached

Homework Equations

The Attempt at a Solution


bii) Tc=mc(a+g)

Need help on Ci what I did is

(9x9.81) -uR-6g=10a

Have no idea what to do though really
 

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bii) Tc=mc(a+g)
... this does not follow from b(i). Please show your reasoning.
Have no idea what to do though really...
... did you read the hint?
But you should complete b before starting c.
 
Simon Bridge said:
... this does not follow from b(i). Please show your reasoning.
... did you read the hint?
But you should complete b before starting c.

for bii i just assumed the expressions would be the same, how would i go about getting an expression for Tc?
 
The b(i) equation defines a sign convention ... you should work out the derivation they did using a free body diagram.
Then for b(ii), you want to do the same derivation, but you have to make sure the sign convention is consistent with the first one.
 
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