Block A is placed on a rough wedge B of inclination 53°. The wedge is on a smooth surface and is accelerated horizontally to the right with acceleration g. Block A is given an initial velocity relative to the wedge. Find the coefficient of friction for which A moves with constant velocity relative to the wedge.

Question

G1 Physics · Accepted Answer

In the wedge frame, a pseudo force mg acts horizontally to the left. Along the plane, the net tendency is mg(sin53°-cos53°)=mg/5. The normal reaction is mg(cos53°+sin53°)=7mg/5. For zero relative acceleration, μN = mg/5, hence μ = 1/7.