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10- A granite block of mass m1 is placed on top of granite block 2 of mass m2 which is then placed on a table. A rope connecting granite block 2 to a hanging granite block of mass M passes over a pulley attached to the table as shown in the diagam below. The mass and the friction of the pulley are negligible. (6 points) The coefficients of friction between granite blocks 1 and 2 and between granite block 2 and the top of the table are non-zero and are given in the table below. Answer the following questions. Express your answers in terms of the masses, coefficient of friction and g (gravitational acceleration). a) Assuming the mass of M is small enough for the blocks to remain at rest. Draw a free body diagram and determine the magnitude of the force (e.g.N=mg) for each of the following questions. i. The normal force Ni exerted on block 1 by block 2 ii. The friction force ff exerted on block 1 by block 2 ii. The force T exerted on block 2 by the rope iv. The normal force N2 exerted on block 2 by the table V. The friction force f. exerted on block 2 by the table b) Determine the largest value of M for which the blocks would remain at rest. c) Assuming M is large enough for the hanging block to descend when blocks 1 and 2 are released. Determine the magnitude of the acceleration of blocks 1 and 2 when they are moving as a unit (i.e no slippage). d) Assuming M is large enough for the hanging block to descend and block 1 to start slipping on block 2 . Calculate: 1. The magnitude ai of the acceleration of block 1 ii. The magnitude a2 of the acceleration of block 2