In the given arrangement of a doubly inclined plane two blocks of masses M and m are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is 0.25. The value of m, for which M=10 kg will move down with an acceleration of 2m/s2, is: (take g=10m/s2 and tan37∘=3/4)
(A)9 kg
(B)4.5 kg✓ Correct
(C)6.5 kg
(D)2.25 kg
Answer: (B)
Solution
For block M moving down the incline at a=2m/s2 (sin53∘=0.8,cos53∘=0.6):
