Equations of Motion Homework: Acceleration of Block A

AI Thread Summary
The discussion focuses on solving a physics problem involving the acceleration of block A in a system with friction and pulleys. The user expresses difficulty in setting up the equations correctly and questions the use of angles in their calculations. They present their equations for both blocks A and B, including the forces acting on them. The user is uncertain about the correctness of their equations and the angle used, which they initially believed to be 60° but later doubted as it appears to be 30° in the provided image. Clarification on these points is sought to ensure accurate problem-solving.
aaronfue
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Homework Statement



I seem to be having trouble setting up my equations and not getting the correct answer to some of these problems.

Ex 1:
Determine the acceleration of block A when the system is released. The coefficient of friction and the weight of each block are indicated in the figure. Neglect the mass of the pulleys and cords. See attached image.

Homework Equations



m = \frac{lb}{32.2}

So for my first set of equations on block A:
ƩFx = 2T+ μmgcos60° - mgsin60° = (\frac{lb}{32.2})aA

ƩFy = N - mgcos60° = 0
N = mgcos60°

Ff = μ*N = μmgcos60°

Block B:
+\uparrow
ƩFy = T - mg = (\frac{lb}{32.2})aB

Pulley:
aB = -2aA

1. Are my equations correct?
2. Was I correct to use 60°? (I'm sure it is right but...I feel a bit doubtful.)
 

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Look at the picture. The angle is 30°.

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