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Unformatted text preview: garcia (jg46766) Problem Set 9 lacosse (S210-7) 1 This print-out should have 35 questions. Multiple-choice 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 off-center 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 (S210-7) 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 four-particle 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.

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solution_pdf4 - garcia (jg46766) Problem Set 9 lacosse...

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