Block 1 of mass m1 = 2 kg is placed on block 2 of mass m2 = 3 kg which is then placed on a table. A string connecting block 2 to a hanging mass M passes over a pulley attached to one end of the table, as shown in Fig. 1. The mass and friction of the pulley are negligible. The coefficients of friction between block 1 and block 2 are µ1s = 0.2, µ1k = 0.1 and between block 2 and the tabletop are µ2s = 0.3, µ2k = 0.15.
(a)Draw the complete free body diagram of the system and determine the largest value of M for which the blocks can remain at rest.
(b)Now suppose that M = 2.5 kg which is large enough so that the hanging block descends and block 1 slips on block 2. Draw the complete free body diagram of the system and determine each of the followings.
i. The magnitude a of the acceleration of block 1.
ii. The magnitude az of the acceleration of block 2.
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