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I think he is offline, so I'll explain it for you:
See, the acceleration of the system is gsin37.
Now, the forces acting on the block of mass m are:
1) mgsin37 down the incline 2) fcos37 (f - force due to friction) down the incline) [ As friction opposes relative slipping, and the mass m has a tendency to move backward, so f acts in the forward dirn] 3) Nsin37, up the incline
Now, the acceleration of the system is gsin37, so the force acting on the block is mgsin37
So, we have:
mgsin37 + kNcos37 - Nsin37 = mgsin37
or k = tan37= 3/4 = 0.75.
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