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Unformatted text preview: garcia (jg46766) Problem Set 9 lacosse (S2107) 1 This printout should have 35 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. Angular Motion Problem Set (35 Ques tions). 001 10.0 points A box with its center of mass offcenter as indicated by the dot is placed on an inclined plane. In which orientation does the box tip over? 1. b 2. b 3. None of the orientations will cause the box to tip over. 4. b 5. b correct Explanation: In order to tip over, the box must pivot about its bottom left corner. The only orien tation where gravity creates a torque sufficient to tip the block is b 002 10.0 points An automobile engine develops a torque of 650 N m and is rotating at a speed of 2000 rev / min. What horsepower does the engine generate? 1 hp = 746 W. Correct answer: 182 . 488 hp. Explanation: Let : = 650 N m and = 2000 rev / min . P = = (650 N m) (2000 rev / min) parenleftbigg 2 1 rev parenrightbiggparenleftbigg 1 min 60 s parenrightbiggparenleftbigg 1 hp 746 W parenrightbigg = 182 . 488 hp . 003 10.0 points A turntable that is initially at rest is set in motion with a constant angular acceleration . What is the magnitude of the angular ve locity of the turntable after it has made one complete revolution? 1. bardbl vector bardbl = 2 2. bardbl vector bardbl = 2 3. bardbl vector bardbl = 4 4. bardbl vector bardbl = 2 5. bardbl vector bardbl = 2 correct 6. bardbl vector bardbl = 2 garcia (jg46766) Problem Set 9 lacosse (S2107) 2 Explanation: Let : = 0 rad / s and = 1 rev = 2 rad . Similar to uniform linear accelerated mo tion, we have 2 f = 2 + 2 = 2 (2 ) = 4 bardbl vector f bardbl = 2 004 (part 1 of 3) 10.0 points Four particles with masses 7 kg, 5 kg, 7 kg, and 5 kg are connected by rigid rods of neg ligible mass as shown. The origin is centered on the mass in the lower left corner. The rectangle is 6 m wide and 5 m long. x y 2 rad / s 5m 6 m 7 kg 5 kg 7 kg 5 kg If the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 2 rad / s, calculate the moment of inertia of the system about the z axis. Correct answer: 732 kg m 2 . Explanation: Let : m 1 = 7 kg , top left m 2 = 5 kg , bottom left m 3 = 7 kg , bottom right m 4 = 5 kg , top right = 6 m , and h = 5 m . The moment of inertia is I z = summationdisplay j m j r 2 j = m 1 h 2 + m 2 0 + m 3 2 + m 4 ( h 2 + 2 ) = (7 kg) (5 m) 2 + (7 kg) (6 m) 2 + (5 kg) [(5 m) 2 + (6 m) 2 ] = 732 kg m 2 . 005 (part 2 of 3) 10.0 points Find the moment of inertia of the fourparticle system about an axis that is perpendicular to the plane of the configuration and passing through the center of mass of the system....
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This note was uploaded on 03/28/2011 for the course PHYSICS 101 taught by Professor Carter during the Spring '11 term at University of Texas at Austin.
 Spring '11
 carter
 Physics

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