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The acceleration a is determined 
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Inclined Plane |
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from the Second Newton Law:
The normal component of the weight is canceled by the equal reaction force from the inclined plane. If the plane can not sustain this weight companent, it will simply colapse. Of course, we assume that the plane is solid enough and that this is not the case. If the friction is smaller than the weight component along the plane, the block slides down with acceleration a .