Exam 9: Rotation

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Use the figure the problem. A mass m = 0.5 kg is hung from a pulley with moment of inertia I = 0.20kg.m2 and radius R = 10cm. There is friction in the pulley. The mass is dropped from rest, and after 2s it traveled 4m. Use the figure the problem. A mass m = 0.5 kg is hung from a pulley with moment of inertia I = 0.20kg.m<sup>2</sup> and radius R = 10cm. There is friction in the pulley. The mass is dropped from rest, and after 2s it traveled 4m.   -What is the angular acceleration of the pulley? -What is the angular acceleration of the pulley?

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A hoop of mass 50 kg rolls without slipping. If the center-of-mass of the hoop has a translational speed of 4.0 m/s, the total kinetic energy of the hoop is

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When an object is moving in a circle at constant speed, its acceleration is

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    The diagrams above show the application of a force to a level arm. The arms are of the same length and  \theta  = 30<sup> \circ </sup>. Which diagram has the largest (magnitude) torque about the hinge? The diagrams above show the application of a force to a level arm. The arms are of the same length and θ\theta = 30 ∘\circ . Which diagram has the largest (magnitude) torque about the hinge?

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A thin, massless string is wrapped around a 0.25m radius grindstone supported by bearings that produce negligible frictional torque. A steady tension of 20 N in the string causes the grindstone to move from rest to a speed of 60 rad/s in 12s. The moment of inertia of the grindstone is A thin, massless string is wrapped around a 0.25m radius grindstone supported by bearings that produce negligible frictional torque. A steady tension of 20 N in the string causes the grindstone to move from rest to a speed of 60 rad/s in 12s. The moment of inertia of the grindstone is

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Two solid balls (one large, the other small) and a cylinder roll down a hill. Which has the greatest speed at the bottom and which the least?

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A wheel rotates through 6.0 rad in 2.0 s as it is uniformly brought to rest. The initial angular velocity of the wheel before braking began was

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Two points, A and B, are on a disk that rotates about an axis. Point A is closer to the axis than point B. Which of the following is not true?

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  A bicycle is moving at a speed v = 12.6 m/s. A small stone is stuck to one of the tires. At the instant the stone is at point A in the figure, it comes free. The velocity of the stone (magnitude and direction) relative to Earth just after release is A bicycle is moving at a speed v = 12.6 m/s. A small stone is stuck to one of the tires. At the instant the stone is at point A in the figure, it comes free. The velocity of the stone (magnitude and direction) relative to Earth just after release is

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A cylinder (I = ½mR2) rolls along a level floor with a speed v. The work required to stop this cylinder is

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  If all of the objects illustrated in the figure have equal masses, the moment of inertia about the indicated axis is largest for the If all of the objects illustrated in the figure have equal masses, the moment of inertia about the indicated axis is largest for the

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In the laboratory, a solid cylinder is permitted to roll down a plane inclined at an angle with the horizontal. If no slipping occurs, which of the following is true?

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The torque exerted on a perfectly spherical orbiting communications satellite by the gravitational pull of the earth is

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A spherically symmetric object with mass m = 0.2 kg and radius r = 10 cm, rolls without slipping on a horizontal surface with speed 1 m/s. It then rolls up an incline that is at an angle 30 ∘\circ with the horizon and comes to rest at a distance of 0.6 m along the incline. What is the moment of inertia of the object about an axis through the center of mass?

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  The curve that most nearly represents the acceleration of an object rolling down an inclined plane as a function of the angle of inclination is The curve that most nearly represents the acceleration of an object rolling down an inclined plane as a function of the angle of inclination is

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The moment of inertia of a certain cylinder, whose mass is not distributed uniformly, is 0.6mR2 about its geometric axis. The translational speed of the center of mass after it starts from rest and rolls 14 m down a 30º incline is approximately

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For a disc of mass M and radius R that is rolling without slipping, which is greater, its translational or its rotational kinetic energy?

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  You are given two hoops (I =   mR<sup>2</sup>), which are (1) brass and (2) wood, and two cylinders (I = mR<sup>2</sup>), which are (3) brass and (4) wood; each has radius R. If all are released from the same starting line at the same time, the one(s) that reach the bottom first are You are given two hoops (I =   You are given two hoops (I =   mR<sup>2</sup>), which are (1) brass and (2) wood, and two cylinders (I = mR<sup>2</sup>), which are (3) brass and (4) wood; each has radius R. If all are released from the same starting line at the same time, the one(s) that reach the bottom first are mR2), which are (1) brass and (2) wood, and two cylinders (I = mR2), which are (3) brass and (4) wood; each has radius R. If all are released from the same starting line at the same time, the one(s) that reach the bottom first are

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Which of the following statements about the motion of the second hand of a clock is true?

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  What physical quantity is represented by the slope of the curve shown on the graph? What physical quantity is represented by the slope of the curve shown on the graph?

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