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Unformatted text preview: Schenker, Meaghan Homework 4 Due: May 10 2008, midnight Inst: Peter LeMaire 1 This print-out should have 49 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. Physics 121 Homework 4 001 (part 1 of 1) 10 points An Atwood machine is constructed using a hoop with spokes of negligible mass. The 2 . 3 kg mass of the pulley is concentrated on its rim, which is a distance 24 cm from the axle. The mass on the right is 1 . 36 kg and on the left is 1 . 69 kg. 1 . 3 m 2 . 3 kg 24 cm 1 . 69 kg 1 . 36 kg What is the magnitude of the linear accel- eration of the hanging masses? The accelera- tion of gravity is 9 . 8 m / s 2 . Answer in units of m / s 2 . 002 (part 1 of 1) 10 points A horizontal 641 N merry-go-round of radius 1 . 14 m is started from rest by a constant horizontal force of 43 . 7 N applied tangentially to the merry-go-round. The acceleration of gravity is 9 . 8 m / s 2 . Assume it is a solid cylinder. Find the kinetic energy of the merry-go- round after 2 . 29 s. Answer in units of J. 003 (part 1 of 3) 10 points A 14 . 8 kg object is attached to a cord that is wrapped around a wheel of radius 11 . 6 cm, as shown. The acceleration of the object down the frictionless incline is measured to be . 76 m / s 2 . Assume the axle of the wheel to be frictionless. The acceleration of gravity is 9 . 8 m / s 2 . 1 4 . 8 k g . 7 6 m / s 2 37 11 . 6 cm Note: Figure is not drawn to scale Find the tension in the rope. Answer in units of N. 004 (part 2 of 3) 10 points Find the moment of inertia of the wheel. An- swer in units of kg m 2 . 005 (part 3 of 3) 10 points Find the angular speed of the wheel 2 . 33 s after it begins rotating, starting from rest. Answer in units of rad / s. 006 (part 1 of 3) 10 points The blocks shown in figure are connected by an inextensible string of negligible mass. The string passes over a frictionless pulley without slipping on the rim of the pulley. The acceleration of gravity is 9 . 8 m / s 2 . The block on the frictionless incline is mov- ing with a constant acceleration up the in- cline. 24 kg T 1 R = 0 . 13 m M 6 . 9 k g = T 2 5 . 9 m / s 2 30 Determine the tension T 1 in the vertical part of the string. Answer in units of N. 007 (part 2 of 3) 10 points Determine the tension T 2 in the string parallel to the incline plane. Answer in units of N. 008 (part 3 of 3) 10 points Schenker, Meaghan Homework 4 Due: May 10 2008, midnight Inst: Peter LeMaire 2 Assume: The pulley has uniform density and is shaped like a narrow cylindrical disk. Find the mass M of the pulley. Answer in units of kg. 009 (part 1 of 1) 10 points Consider two masses, 3 . 2 kg and 6 . 9 kg, con- nected byastringpassingover apulley having a moment of inertia 11 gm 2 about its axis of rotation, as in the figure below. The string does not slip on the pulley, and the system is released from rest. The radius of the pulley is . 29 m....
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