What are the accelerations of A on an incline with different scenarios?

AI Thread Summary
The discussion revolves around calculating the acceleration of body A on an incline under different scenarios: at rest, moving up, and moving down. The weights of bodies A and B, along with the coefficients of friction and the incline angle, are provided. The user initially struggles with the calculations, mistakenly arriving at an incorrect answer for part (a) but eventually realizes the acceleration is zero when A is at rest. However, confusion persists regarding the calculations for parts (b) and (c), as the user grapples with the logical inconsistency of A being in multiple states simultaneously. The thread highlights the complexities of applying physics principles in dynamic scenarios.
Matt12345
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Homework Statement


Body A weighs 110 N, and body B weighs 37 N. The coefficients of friction between A and the incline are μs = 0.56 and μk = 0.25. Angle θ is 40°. Let the positive direction of an x-axis be up the incline.

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(a). Find the acceleration of A if A is initially at rest.
(... m/s^2) i

(b). Find the acceleration of A if A is moving up the incline.
(...m/s^2) i

(c). Find the acceleration of A if A is moving down the incline.
(...m/s^2) i


Homework Equations


F=ma


The Attempt at a Solution


So I am not really sure how to solve this problem at all. I have tried a few ways, none have come up with reasonable or correct answers.

I tried using...

FT = mA * g * sin(theta) - fk

where fk = mewk * FN
and setting FN = g * a

I then solved for a and came out with 134 but that was wrong and didn't make sense.

I have no idea what to do next. Can anyone help me out? That would be awsome.
 

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So I got part (a). which is 0. I don't know why I didn't try that before. I feel stupid. But parts (b). and (c). I am still not sure about.
 
Matt12345 said:
So I got part (a). which is 0. I don't know why I didn't try that before. I feel stupid. But parts (b). and (c). I am still not sure about.
This problem makes no sense. Either the block A is at rest, or it moves up the plane, or moves down the plane. It can't do all three!
 
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