3. If you drag a rip-cord 2.0m across a wheel and it turns 10rad, what is the radius of the wheel? a. 0.1m b. 0.2m c. 0.4m d.

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1 1. Two spheres are rolled across the floor the same distance at the same speed. Which will have the greater angular velocity? a. the smaller sphere b. the larger sphere c. the angular velocities will be equivalent 2. As a merry-go-round rotates, compared to an outside horse, an inside horse has a linear velocity and a(n) angular velocity. a. greater, equal b. lesser, equal c. lesser, lesser d. greater, greater 3. If you drag a rip-cord 2.0m across a wheel and it turns 10rad, what is the radius of the wheel? a. 0.1m b. 0.2m c. 0.4m d. none of the above 4. A 1kg mass is suspended from the 20cm mark of a meterstick balanced at its center. Where should a 2kg mass be placed to balance the meterstick? a. at the 10cm mark b. at the 80cm mark c. at the 55cm mark d. at the 65cm mark 5. A bike chain is wrapped around two wheels. The left wheel has a radius of 20cm and the right wheel has a radius of 80cm. If the left wheel is spinning at 10rad/s, the right wheel is spinning at: a. 2.5 rad/s b. 5.0 rad/s c. 10 rad/s d. 40 rad/s

2 6. If the wheel diagrammed begins at rest, it will spin: a. clockwise b. counter-clockwise c. not at all 7. A meter stick is balanced at the 50-cm mark. You tie a 20-N weight at the 40-cm mark. Where should a 10-N weight be placed so the meter stick will again be balanced? A) 20 cm mark B) 30 cm mark C) 80 cm mark D) 70 cm mark 8. If the angular velocity vector of a spinning body points out of the page then, when viewed from above the page, the body is spinning: 1) clockwise about an axis that is perpendicular to the page 2) counterclockwise about an axis that is perpendicular to the page 3) about an axis that is parallel to the page 4) about an axis that is changing orientation 5) about an axis that is getting longer 9. The angular velocity vector of a spinning body points out of the page. If the angular acceleration vector points into the page then: 1) the body is slowing down 2) the body is speeding up 3) the body is starting to turn in the opposite direction 4) the axis of rotation is changing orientation 5) none of the above 10. A disk is spinning as shown with angular velocity. It begins to slow down. While it is slowing, what is the direction of its vector angular acceleration? 1) 2) 3) 4) 5) Some other direction.

3 11. A long board is free to rotate about the pivot shown in each of the four configurations shown. Weights are hung from the board as indicated. In which of the configurations, if any, is the net torque about the pivot axis the largest? 1) 1 2) 2 3) 3 4) 4 5) same for all 12. A mass is hanging from the end of a horizontal bar which pivots about an axis through it center, but it being held stationary. The bar is released and begins to rotate. As the bar rotates from horizontal to vertical, the magnitude of the torque on the bar: 1) increases 2) decreases 3) remains constant 13. A 50g mass is hung from the 72cm mark of a meterstick which has a fulcrum at 50cm. If the length of string connecting the 50g mass and meterstick is doubled, the torque applied by the mass will a. double b. diminish by one-half c. neither of these

4 14. BIG BEN and a little alarm clock both keep perfect time. Which minute hand has the bigger angular velocity? A) Big Ben B) little alarm clock C) Both have the same 15. A small wheel and a large wheel are connected by a belt. The small wheel is turned at a constant angular velocity s. How does the magnitude of the angular velocity of the large wheel L compare to that of the small wheel? s L A: s = L B: s > L C: s < L

5 16. You are using a wrench and trying to loosen a rusty nut. Which of the arrangements shown is most effective in loosening the nut? (A=1, B=2, C=3, D=4) 17. Three forces labeled A, B, C are applied to a rod which pivots on an axis thru its center. Which force causes the largest magnitude torque? L C L/2 2F 45 o B A F L/4 F A: A B: B C: C D: two or more forces tie for largest size torque.

6 18. A disk is spinning about a fixed axis in the direction shown. What is the direction of the disk s angular velocity vector? 19. A top is spinning counterclockwise as shown in the figure. It is also moving to the right with a linear speed v. What is the direction of the angular velocity? 1) downward 2) right 3) upward 4) left 5) into the paper 20. What is the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolution every h and has an equatorial radius of 6380 km. 1) 74.0 m/s 2) 148 m/s 3) 465 m/s 4) 116 m/s 5) 232 m/s

7 21. A mass M is placed on a very light board supported at the ends, as shown. The freebody diagram shows directions of the forces, but not their correct relative sizes. M F L F R (2/3)L L/3 Mg F F R What is the ratio? L A: 2/3 B: 1/3 C: 1/2 D: 2 E: some other ratio. 22. Rank the spheres according to the rotational inertia about them, greatest first. 1) 1, 2, 3 2) 1, 3, 2 3) 3, 1, 2 4) 3, 2, 1 5) none of the above d 2d Consider two masses, each of size 2m at the ends of a light rod of length L with the axis of rotation through the center of the rod. The rod is doubled in length and the masses are halved. What happens to I? 1) I A > I B 2) I A < I B 3) I A = I B A L/2 L/2 B 2m 2m m L L m 24. Two spheres have the same radius and equal masses. One is made of solid aluminum, and the other is made from a hollow shell of platinum. Which one has the bigger moment of inertia about an axis through its center? 1) solid aluminum 2) hollow platinum 3) same

8 25. Consider a rod of uniform density with an axis of rotation through its center and an identical rod with the axis of rotation through one end. Which has the larger moment of inertia? 1) I C > I E 2) I C < I E 3) I C = I E C E axis axis 26. A uniform solid cylinder made of lead has the same mass and the same length as a uniform solid cylinder made of wood. The rotational inertia of the lead cylinder compared to the wooden one is: 1) greater 2) less 3) same 4) unknown unless the radii are given 5) unknown unless both the masses and the radii are given 27. Consider a solid disk with an axis of rotation through the center (perpendicular to the diagram). The disk has mass M and radius R A small mass m is placed on the rim of the disk. What is the moment of inertia of this system? 1) (M+m)R 2 2) less than (M+m)R 2 3) greater than (M+m)R Consider a solid disk with an axis of rotation through the center (perpendicular to the diagram). Two holes are cut out near the center and the material is placed near the rim. Which has the larger I? 1) I A > I B 2) I A < I B 3) I A = I B A B

9 29. Around which point is the rotational inertia greater? a. point A b. point B c. the rotational inertia is the same 30. Which has more rotational inertia, a bicycle wheel or a solid disk of the same mass and diameter? A) The wheel. B) The disk. C) They both have the same rotational inertia.

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