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Question:

Given in the figure are two blocks A and B of weight 20N and 100N, respectively. These are being pressed against a wall by a force F as shown. If the coefficient of friction between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force applied by the wall on block B is 80 N, 100 N, 120 N, 150 N?

80 N

100 N

120 N

150 N

Solution:

As the both the masses are in equilibrium the static friction will be acting on blocks which can be found from balancing the forces in vertical direction.
The FBD of block A
Writing force balance in vertical direction for block A
f1=weight of the block A =20N
Writing force balance in vertical direction for block B
f2−f1=weight of the block B
100N
The value of frictional force between wall and block B is 120N