# Acceleration of system.

darksyesider
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:

$$a = \frac{ -\mu_k m_1 g \cos\theta + m_1g\sin\theta }{\mu_k sin\theta (m_1+m_2) }$$

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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