- #1

darksyesider

- 63

- 0

General question.

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

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?

## 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?