Two blocks with masses M_1 and M_2 hang one under the other. For this problem, t

Question

Two blocks with masses M_1 and M_2 hang one under the other. For this problem, take the positive direction to be upward, and use g for the magnitude of the acceleration due to gravity.
Case 1: The blocks are at rest.
Find T_2, the tension in the lower rope.
Express your answer in terms of some or all of the variables M_1, M_2, and g.
Find T_1, the tension in the upper rope.
Express your answer in terms of some or all of the variables M_1, M_2, and g.
Case 2: The blocks are now accelerating upward (due to the tension in the strings) with acceleration of magnitude a.
Part C
Find T_2, the tension in the lower rope.
Express your answer in terms of some or all of the variables M_1, M_2, a, and g.
Part D
Find T_1, the tension in the upper rope.
Express your answer in terms of some or all of the variables M_1, M_2, a, and g.

Explanation / Answer

Blocks at rest: T2 = M2 g only M2 is supported by the rope T1 = (M2 + M1)g now the upper rope must support both M1 & M2 Blocks accelerating upward T2 = M2 (a + g) the additional force (M2 g) is required accelerate the block T1 = (M2 + M1) * (g + a)

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