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**Unformatted text preview: **Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A tire is rolling along a road, without slipping, with a velocity v. A piece of tape is attached to the tire. When the tape is opposite the road (at the top of the tire), it's velocity with respect to the road is A) 1.5 v . B) 2v . C) v. D) The velocity depends on the radius of the tire. 1) 2) A cylinder is observed to be rolling freely at constant speed on a horizontal surface. Which of the following statements is true? A) It is not possible for the cylinder to roll unless friction is present. B) It is possible that the cylinder is both rolling and sliding at the same time (i.e., that v , the speed of the centerpoint, is not equal to rw). C) If the cylinder is rolling without slipping, there must be a non- zero friction force exerted by the surface. D) If friction is present, it is not possible for the motion to occur without loss of energy. E) Even if the surface has friction, the cylinder cannot roll without slipping. 2) TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 3) Two unequal weights are connected by a massless string which passes over a frictionless pulley. If the pulley has no appreciable mass, the tension in the string is the same on both sides of the pulley; but if the pulley has mass, the tension will not be the same on both sides of the pulley. 3) 4) There must be equal amounts of mass on either side of the center of mass. 4) 5) If two objects have the same moment of inertia, they must have the same mass. 5) 6) If you deform an object, you do not change its mass but you may change its moment of inertia and the location of its center of mass. 6) 7) If two forces of equal magnitude act on an object that is hinged at a pivot, the force acting farther from the pivot must produce the greater torque about the pivot. 7) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 8) A force in the + y direction applied at the point x = 2.3 m, y = 1.4 m gives rise to a torque of 71 N · m about the origin. Find the magnitude of the force. A) 71 N B) 31 N C) 51 N D) 87 N 8) 1 Point P is on the rim of a wheel of radius 2.0 m. At time t = 0, the wheel is at rest, and P is on the x- axis. The wheel undergoes a uniform angular acceleration of 0.01 rad/s 2 about the center O....

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