Question

In the system shown in the figure , block A has mass m_A = 2.08 kg, block B has mass m_B = 0.370 kg, and the rope connecting them has a nonzero mass 0.203 kg. The rope has a total length 1.03 m and the pulley has a very small radius. Let d be the length of rope that hangs vertically between the pulley and block B.

If there is friction between block A and the table top, with mu_k = 0.195 and mu_s = 0.255, find the minimum value of the distance d such that the blocks will start to move if they are initially at rest. Ignore any sag in the horizontal part of the rope.
0.4

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