Exam 12: Static Equilibrium and Elasticity

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A design project requires you to construct a crane to lift a maximum load of 5000 kg and with a maximum upward acceleration of 2 m/s2. What size diameter steel cable should you use if the cable is to have a safety factor of 5?

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A planet has mass mP and radius RP. Suppose a rod of uniform diameter and length RP extends vertically from the surface of the planet. Where is the center of gravity of the rod as measured from the surface of the planet? The mass of the rod is much less than the mass of the planet. A planet has mass m<sub>P</sub> and radius R<sub>P</sub>. Suppose a rod of uniform diameter and length R<sub>P</sub> extends vertically from the surface of the planet. Where is the center of gravity of the rod as measured from the surface of the planet? The mass of the rod is much less than the mass of the planet.

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A body is in translational equilibrium when

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A 10-m long plank (of negligible mass) is supported at each end by vertical cables. A person of unknown weight sits on the plank between the cables. The tension in the left cable is 300 N, and in the right cable it is 200 N. How far is the person sitting from the left cable?

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Use the picture on the right to answer the next question. A steel wire and an aluminum wire of the same length L and diameter d are joined to form a wire of length 2L. The wire is fastened to the ceiling and a mass m is attached to the other end. Use the picture on the right to answer the next question. A steel wire and an aluminum wire of the same length L and diameter d are joined to form a wire of length 2L. The wire is fastened to the ceiling and a mass m is attached to the other end.   -The stress in the aluminum portion is ____ the steel portion. -The stress in the aluminum portion is ____ the steel portion.

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