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# Homework 7 - soto(rrs946 – Homework 7 – Spurlock...

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Unformatted text preview: soto (rrs946) – Homework 7 – Spurlock – (41003) 1 This print-out should have 46 questions. Multiple-choice 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 right-hand 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 left-hand 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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Homework 7 - soto(rrs946 – Homework 7 – Spurlock...

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