**Two blocks with masses M1 and M2 hang one under the other. For this problem, t

Question

**Two blocks with masses M1 and M2 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. (Figure 1)

Case 2: Accelerating blocks

For Parts C and D the blocks are now accelerating upward (due to the tension in the strings) with acceleration of magnitude a.

Part C

Find T2, the tension in the lower rope.

Express your answer in terms of some or all of the variables M1, M2, a, and g.

T2 =

Part D

Find T1, the tension in the upper rope.

Express your answer in terms of some or all of the variables M1, M2, a, and g.

T1 =

Explanation / Answer

1a) T_2 = M_2 * g
1a) T_1 = (M_1 + M_2) * g

2a) T_2 = M_2 * (a + g)
2b) T_1 = (M_1 + M_2) * (a + g)

Jim: Note that in this case g is simply the magnitude, it does not come with a sign attached. Also, for 2b the tension T_1 is what is responsible for the acceleration of both blocks, since M_2 is hanging from M_1.

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