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Chapter 8 Name ______________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Angular displacement is usually express in units of A) revolutions. B) arcs. 1) C) radians. 2) Angular acceleration is expressed in units of A) radians per second squared. C) meters per second squared. B) alphas per second squared. D) arcs per second squared. D) meters. 2) 3) Angular velocity is expressed in units of A) arcs per second. C) meters per second. 3) B) radians per second. D) omegas per second. 4) A boy and a girl are riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration? A) Both have the same non-zero tangential acceleration. B) the boy C) the girl D) Both have zero tangential acceleration. 4) 5) Consider two uniform solid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is A) 2. B)4. C)6. D)8. E) 10. 5) 6) Suppose a solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on A) the radius of the sphere. B) the mass of the sphere. C) both the mass and the radius of the sphere. D) neither the mass nor the radius of the sphere. 6) 7) Suppose a solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on A) the mass of the sphere. B) both the mass and the radius of the sphere. C) neither the mass nor the radius of the sphere. D) the radius of the sphere. 7) 1 8) A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular speed? A) the girl B) the boy 8) C) Both have the same non-zero angular velocity. D) Both have zero angular velocity. 9) Two forces are applied to a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of the second is A) 1/4. B)4. c)l/2. D)2. 9) 10) Two equal forces are applied to a door at the doorknob. The first force is applied perpendicular to the door; the second force is applied at 30° to the plane of the door. Which force exerts the greater torque? A) the first applied perpendicular to the door B) the second applied at an angle C) both exert zero torques D) both exert equal non-zero torques 10) 11) A boy and a girl are riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration? A) the girl B) the boy C) Both have the same non-zero centripetal acceleration. D) Both have zero centripetal acceleration. 11) 12) An ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis of rotation? A) It increases. B) It decreases. C) It does not change. D) It changes, but it is impossible to tell which way. 12) 13) An ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of rotation? A) It decreases. B) It increases. C) It does not change. D) It changes, but it is impossible to tell which way. 13) 14) An ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotation? A) It increases. B) It does not change. C) It decreases. D) It changes, but it is impossible to tell which way. 14) 2 15) If a constant net torque is applied to an object, that object will A) having an increasing moment of inertia. B) having a decreasing moment of inertia. C) rotate with constant angular velocity. D) rotate with constant angular acceleration. 15) 16) Two equal forces are applied to a door. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque? A) both exert zero torques B) the second at the doorknob C) both exert equal non-zero torques D) the first at the midpoint 16) 17) Consider a rigid body that is rotating. Which of the following is an accurate statement? A) Its center of rotation is at rest, i.e., not moving. B) Its center of rotation is its center of gravity. C) All points on the body are moving with the same angular velocity. D) All points on the body are moving with the same linear velocity. 17) 18) Rolling without slipping depends on A) tension between the rolling object and the ground. B) the force of gravity between the rolling object and the Earth. C) static friction between the rolling object and the ground. D) kinetic friction between the rolling object and the ground. 18) 19) A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement? A) the girl B) the boy C) Both have the same non-zero angular displacement. D) Both have zero angular displacement. 19) 20) A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speed? A) the boy B) the girl C) Both have the same non-zero translational velocity. D) Both have zero translational velocity. 20) 3 -* U<(oDQ<UUD<(OUfflUD»UUU< r H r - i t - i x- i t - i t - ^ i - H T - l i - t T -i C M