Mass not sliding on a smooth, accelerating base

1. Jul 5, 2015

Karol

1. The problem statement, all variables and given/known data
Mass m lays on the smooth triangle of mass M. what is the acceleration of M so that m will stay in place.

2. Relevant equations
Newton's second law: $F=ma$

3. The attempt at a solution
$$\tan\alpha=\frac{ma}{mg}\;\rightarrow\; a=g\tan\alpha$$

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2. Jul 5, 2015

rpthomps

My suggestion is to determine the acceleration of the block if the ramp is not moving first, down the slope.

3. Jul 5, 2015

Nathanael

Looks right to me, is your answer supposed to be wrong?

4. Jul 5, 2015

Karol

It's one of the possible answers but the other answers are complicated and include M. it's logical that my answer is correct since it's a short quiz, not a long exam

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