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Physics1Ahw9 - Physics 1A Problem Set 9 Winter 2008 1...

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Physics 1A Winter 2008 Problem Set # 9 1) Ancient pyramid builders are balancing a uniform rectangular slab of stone tipped at an angle θ above the horizontal using a rope (the figure). The rope is held by five workers who share the force equally. If θ =18.4 degrees, what force does each worker exert on the rope? As θ increases, does each worker have to exert more or less force than in part A, assuming they do not change the angle of the rope? Why? At what angle do the workers need to exert no force to balance the slab? What happens if θ exceeds this value? 2) Two friends are carrying a crate of mass 200 kg up a flight of stairs. The crate has length 1.25 m and height 0.500 m, and its center of gravity is at its center. The stairs make a 45 degrees angle with respect to the floor. The crate also is carried at an angle 45 degrees, so that its bottom side is parallel to the slope of the stairs. The force each person applies is vertical. What is the magnitude of the upper person's force? What is the magnitude of the force applied by the bottom person?
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