The pulley system shown is at rest when the motor M starts pulling in rope so as to lift the 120 lb cargo C. For the first second of operation, the motor can produce a tension in the rope of the form F0(1 + t/τ), where F0 = 40 lb. Neglect the inertia of the pulleys and of the rope.
Use the impulse-momentum principle to find the value of τ needed for the cargo C to travel upward with a speed of 10 ft/s after 1 s.
Figure P5.18
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