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Unformatted text preview: schneiter (tcs639) HW18 Ross (89152) 1 This printout should have 7 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points The system shown in the figure is in equilib rium. A 13 kg mass is on the table. A string attached to the knot and the ceiling makes an angle of 48 with the horizontal. The coeffi cient of the static friction between the 13 kg mass and the surface on which it rests is 0 . 44. The acceleration of gravity is 9 . 8 m / s 2 . 13 kg m 4 8 What is the largest mass m can have and still preserve the equilibrium? Correct answer: 6 . 35271 kg. Explanation: Let : M = 13 kg , m = 6 . 35271 kg , and = 48 . Basic Concepts: The net force exerted on an object in equilibrium equals zero. Solution: For the system to remain in equi librium, the net forces on both M and m should be zero; and thus the tension in the rope has an upper bound value T max T max cos = M g , so (1) T max = M g cos = (0 . 44) (13 kg) (9 . 8 m / s 2 ) cos(48 ) = 83 . 7744 N . For m to remain in equilibrium T max sin = m max g , so (2) m max = T max sin g = (83 . 7744 N) sin(48 ) (9 . 8 m / s 2 ) = 6 . 35271 kg ....
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 Spring '08
 BUTTON
 mechanics

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