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Unformatted text preview: soto (rrs946) – Homework 7 – Spurlock – (41003) 1 This printout should have 46 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A mobile consisting of four weights hanging on three rods of negligible mass. 31 N W 1 W 2 W 3 8 m 9 m 7 m 4 m 4 m 8 m Find the weight of W 3 . Answer in units of N. 002 (part 1 of 2) 10.0 points The uniform diving board has a mass of 35 kg . A B 1 . 1 m 3 . 2 m Find the force on the support A when a 70 kg diver stands at the end of the div ing board. The acceleration of gravity is 9 . 81 m / s 2 . Answer in units of kN. 003 (part 2 of 2) 10.0 points Find the force on the support B at that same instant. Answer in units of kN. 004 10.0 points Two weights attached to a uniform beam of mass 45 kg are supported in a horizontal po sition by a pin and cable as shown in the figure. 54 kg 45 kg 2 . 5 m 7 m 39 ◦ 45 kg What is the tension in the cable which sup ports the beam? The acceleration of gravity is 9 . 8 m / s 2 . Answer in units of kN. 005 10.0 points A weight (with a mass of 21 kg) is suspended from a point near the righthand end of a uni form boom with a mass of 29 kg . To support the uniform boom a cable runs from this same point to a wall (the lefthand vertical coordi nate in the figure) and by a pivot on the same wall at an elevation of 6 . 5 m . soto (rrs946) – Homework 7 – Spurlock – (41003) 2 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 VerticalHeight(m) Horizontal Distance (m) 29 kg T 21 kg Figure: Drawn to scale. Calculate the tension T in the cable. The acceleration of gravity is 9 . 8 m / s 2 . Answer in units of N. 006 10.0 points A uniform 7.3 m tall aluminum ladder is lean ing against a frictionless vertical wall. The ladder has a weight of 287 N. The ladder slips when it makes a 56.0 ◦ angle with the horizon tal floor. Determine the coefficient of static friction between the ladder and the floor. 007 10.0 points The system is in equilibrium and the pulleys are frictionless and massless. 9 kg 9 kg 4 kg T Find the force T . The acceleration of grav ity is 9 . 8 m / s 2 . Answer in units of N. 008 10.0 points For safety in climbing, a mountaineer uses a nylon rope that is 39 m long and 0 . 6 cm in diameter. When supporting an 84 kg climber, the rope elongates 1 . 3 m . Find its Young’s modulus. The acceleration of gravity is 9 . 8 m / s 2 . Answer in units of Pa. 009 10.0 points A solid metal sphere of volume 0 . 992 m 3 is lowered to a depth in the ocean where the water pressure is equal to 1 . 29 × 10 7 N / m 2 . What is the change in the volume of the sphere? The atmospheric pressure is 1 . 013 × 10 5 Pa and the bulk modulus of the metal from which the sphere is made is 1 . 22 × 10 10 N / m 2 ....
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 Fall '11
 HOFFMAN
 Force, Work

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