Yet another two-block system question. I guess I don't understand this still.

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The discussion revolves around a two-block system problem where the user is struggling to understand the forces at play, particularly the tension and friction involved. The user initially miscalculated the coefficient of kinetic friction, expecting a value of 0.25 but obtaining 0.583 instead. Clarifications were made regarding the direction of acceleration and the signs used in the equations, specifically that the acceleration should be negative for block A as it moves left. The conversation highlights the importance of correctly applying the signs for forces in the equations to arrive at the correct solution. Ultimately, the user expresses gratitude for the clarification, indicating a better understanding of the problem.
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Homework Statement


See attempt at solution. It has everything.

Homework Equations


F_net = ma (net force)
W = mg (weight)
f_k = u_k * N (frictional force - kinetic)

T is the tension force.

The Attempt at a Solution



See attachment below. I realize I just posted a problem related to a two block system. I got help on the last problem and thought I understood it completely, but this time I'm REALLY not sure what I'm missing. I checked over the coordinate system and all the signs in the problem and thought all my steps made sense. Am I simply missing a force?

The answer I should be getting is u_k = 0.25, but I get 0.583 instead.
 

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For 10 kg block g*sinθ and ax are in the same direction. So in that equation you have to equate it to -m*ax.
 
rl.bhat said:
For 10 kg block g*sinθ and ax are in the same direction. So in that equation you have to equate it to -m*ax.

Thank you, that did give me the correct answer. Are you saying the acceleration should be negative on block A since it is traveling in the -x direction (left)?
 
Bensky said:
Thank you, that did give me the correct answer. Are you saying the acceleration should be negative on block A since it is traveling in the -x direction (left)?
The mass is moving in the direction of g*sinθ. In the equation you have taken g*sinθ -ve, so ax also -ve.
 
rl.bhat said:
The mass is moving in the direction of g*sinθ. In the equation you have taken g*sinθ -ve, so ax also -ve.

What is "ve"?

EDIT: Nevermind, you mean -ve = "negative" haha. I'm a little slow tonight, nevermind! I understand, thanks.
 
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