# Worksheet6 - Name(Last First Recitation TA Section Number...

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Name (Last, First) ____________ , ____________ Recitation TA ____________ Section Number_______ Physics 151 Problem Set #6 due ______________________ Answer Structure [4 pts] _________ 1. [8 points] Two students want to raise a heavy box onto the back of a truck. They do this by putting a rope through a handle on the box, and each lifting one side of the rope, as sketched. The arrangement is symmetrical, so that the rope makes an angle φ with the horizontal on either side. The box is moved at a constant speed. In this problem you will compute the magnitude of the tension in the rope. Let the mass of the trunk (including the handle) be M , and neglect the mass of the rope. a) Draw a free body diagram of the forces on the handle beside the “real world” picture below. φ φ M b) Choose a sensible coordinate system, and write each of the forces in terms of your coordinates. You may use either vector notation, or ordered pairs. c) Write down the horizontal and vertical components of . Use these equations to solve for the magnitude of the tension in each side of the rope. Give your final answer in terms of M , g and φ .

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