ch11 - Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM 1....

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Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM 1. A wheel rolls without sliding along a horizontal road as shown. The velocity of the center of the wheel is represented by −→ . Point P is painted on the rim of the wheel. The instantaneous velocity of point P is: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ......................................... . . . . . . . . . . . . . . . . . . . . . . . ......................... . . . . . . . . . . . . . P ............................. . . . . . . . . . . . . . . n v . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A. B. C. D. c E. zero ans: E 2. A wheel of radius 0 . 5 m rolls without sliding on a horizontal surface as shown. Starting from rest, the wheel moves with constant angular acceleration 6 rad / s 2 . The distance traveled by the center of the wheel from t =0to t = 3 s is: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . n v . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A. zero B. 27 m C. 13 . 5m D. 18 m E. none of these ans: C 3. Two wheels roll side-by-side without sliding, at the same speed. The radius of wheel 2 is twice the radius of wheel 1. The angular velocity of wheel 2 is: A. twice the angular velocity of wheel 1 B. the same as the angular velocity of wheel 1 C. half the angular velocity of wheel 1 D. more than twice the angular velocity of wheel 1 E. less than half the angular velocity of wheel 1 ans: C 162 Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM
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4. A forward force on the axle accelerates a rolling wheel on a horizontal surface. If the wheel does not slide the frictional force of the surface on the wheel is: A. zero B. in the forward direction C. in the backward direction D. in the upward direction E. in the downward direction ans: D 5. When the speed of a rear-drive car is increasing on a horizontal road the direction of the frictional force on the tires is: A. forward for all tires B. backward for all tires C. forward for the front tires and backward for the rear tires D. backward for the front tires and forward for the rear tires E. zero ans: D 6. A solid wheel with mass M , radius R , and rotational inertia MR 2 / 2, rolls without sliding on a horizontal surface. A horizontal force F is applied to the axle and the center of mass has an acceleration a . The magnitudes of the applied force F and the frictional force f of the surface, respectively, are: A. F = Ma , f =0 B. F = , f = Ma/ 2 C. F =2 , f = D. F , f = 2 E. F =3 2, f = 2 ans: E 7. The coe cient of static friction between a certain cylinder and a horizontal f oor is 0 . 40. If the rotational inertia of the cylinder about its symmetry axis is given by I =(1 / 2) 2 , then the magnitude of the maximum acceleration the cylinder can have without sliding is: A. 0 . 1 g B. 0 . 2 g C. 0 . 4 g D. 0 . 8 g E. g ans: D 8. A thin-walled hollow tube rolls without sliding along the f oor. The ratio of its translational kinetic energy to its rotational kinetic energy (about an axis through its center of mass) is: A. 1 B. 2 C. 3 D. 1 / 2 E. 1 / 3 ans: A Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM 163
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9. A sphere and a cylinder of equal mass and radius are simultaneously released from rest on the same inclined plane and roll without sliding down the incline. Then: A. the sphere reaches the bottom f rst because it has the greater inertia B. the cylinder reaches the bottom f rst because it picks up more rotational energy C. the sphere reaches the bottom f rst because it picks up more rotational energy D. they reach the bottom together E. none of the above are true
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ch11 - Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM 1....

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