In the arrangement shown in figure the masses of the wedge M and the body m are known. The appreciable friction exists only between the wedge and the body m, the friction coefficient being equal to k. The masses of the pulley and the thread are negligible. Find the acceleration of the body m relative to the horizontal surface on which the wedge Slides.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
a = g / 
(2 + k + M / m)
Sol.
Considering the system as marked in the diagram
T = (M + m) a.
a is the common acceleration of the two masses in horizontal direction.
Now taking the body m as system.
F.B.D. for the body will be
N = ma (m has acceleration a in horizontal direction)
Also, mg – kN – T = ma (m has acceleration a downward w.r.t. wedge because of the constraint)
or a = 
= 
= 
= 
= 
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