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Problem 4 (20 points) A cat of mass mc = 3.19 kg walks along a horizontal uniform plank with a mass mp = 4.21 kg.

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Problem 4 (20 points) A cat of mass mc = 3.19 kg walks along a horizontal uniform plank with a mass mp = 4.21 kg. The plank, which is Lp = 5.10 m long, is supported by a thin light cable which is attached to a point a distance d1 = 0.513 m from the right end of the plank. The cable is Lc = 5.35 m in length. The other end of the cable is attached to the wall by a hinge. The left end of the plank is pushed against the wall at point P by the cable. The cable can provide a maximum tension of Tmax = 52.3 N. What maximum distance, d2, from point P, can the cat walk without the cable rupturing? cable Le wall cat P plank F LP

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