A wedge of inclination θ rises towards the right and is forced to accelerate horizontally towards the right with acceleration a. A small block of mass m remains in contact with its smooth inclined surface. The normal reaction is:
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Question

A wedge of inclination θ rises towards the right and is forced to accelerate horizontally towards the right with acceleration a. A small block of mass m remains in contact with its smooth inclined surface. The normal reaction is:

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G1 Physics · Accepted Answer

In the wedge frame, gravity mg acts downward and pseudo force ma acts left. Their components perpendicular into the plane add. Thus N = mg cosθ + ma sinθ = m(g cosθ + a sinθ).