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Unformatted text preview: Example 8-18 A Falling Rope A uniform rope of mass M and length L is held by one end, with the other end just touching the surface of a scale pan. The rope is released and begins to fall. Find the force of the rope on the scale pan just as the midpoint of the rope reaches the scale pan. A very flexible rope of length L and mass M is released from rest and falls on the pan of a scale. PICTURE Apply Equation 8-33 to the system consisting of the scale pan and that portion of the rope on the scale at time t . There are two external forces on that system, the force of gravity and the normal force exerted by the scale on the scale pan. The impact velocities of the different points along the falling rope depend upon their initial heights above the scale pan. The normal force exerted by the scale must both change the momentum of the rope impacting the scale;...
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