# Accelerated wedge [closed]

Consider the following figure, where a mass $m$ is placed on a wedge which is accelerated to the right ($\vec a$) which could be negative. The coefficient of friction between the mass and the wedge is $\mu$.

I sketched the 3 forces I know that the mass "feels" but I don't know that happens when the wedge is accelerated. Could any one give me a hint for this?

Is this $m\vec a$ vector I sketched in red correct?

• Making more progress on this exercise, I am trying to find the range for which the block remains at rest with respect to the plane (the wedge). So I came with the following: $$\vec a =\vec g \cdot \dfrac{\sin \theta -\mu \sin \theta }{\cos \theta + \mu \sin \theta}$$. Given that the plane is inclined in angle $\theta$. Now, where is the range, i.e how I write the answer in the form $$\vec a \in (?,?)$$ – E Be Sep 28 '14 at 10:00