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Acceleration of system.

  • #1
General question.

Homework Statement



you are given theta, μ, and both masses. Find the acceleration of the system so the block does not slip.


The Attempt at a Solution



Let m1 be the block, and m2 be the trapezoid car thing.
Let F be the applied force
I used a coord system with the x axis along the area where the trapezoid touches the block. I came up with:

Fnet = m1 g sin θ - ff

Fnet = m1 g sin θ - u F sin theta - u m1 g cos theta = 0

Substituting for the system gives:

[tex] a = \frac{ -\mu_k m_1 g \cos\theta + m_1g\sin\theta }{\mu_k sin\theta (m_1+m_2) } [/tex]

Although i think this is incorrect since i did not account for the normal force of the car onto the block. Can someone correct this?
 

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Answers and Replies

  • #2
Simon Bridge
Science Advisor
Homework Helper
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Please show your reasoning. I can see what ##\theta## and ##\mu## are, but which mass is ##m_1## and which ##m_2##? What does "ff" mean in your equations?

Since this is homework, we won't correct it for you.
What we can do is help you correct it for yourself.
 

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