2048_Spring09_Exam2

1 4 ω 3 2 ω 3 ω 2 4 2 ω 5 3 ω 4 77777 77777 17 a

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that is halfway to the center of the disk what is the new angular velocity of the mouse-disk system? (1) 4 ω/ 3 (2) ω (3) ω/ 2 (4) 2 ω (5) 3 ω/ 4

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77777 77777 17. A ball of mass m , at one end of a string of length L , rotates in a vertical circle just fast enough to prevent the string from going slack at the top of the circle. The speed of the ball at the bottom of the circle is: (1) 5 gL (2) 2 gL (3) 3 gL (4) 7 gL (5) 2 gL 18. A massless cloth tape is wound around the outside of a uniform solid cylinder (mass M , radius R ) and fastened to the ceiling as shown in the figure. The cylinder is held with the tape vertical and then re- leased from rest. What is the acceleration of the center-of-mass of the cylinder? (1) 2 g/ 3 (2) g (3) g/ 2 (4) 3 g/ 4 (5) g/ 3 19. A constant horizontal force ~ F app of magnitude 20 N is applied to a wheel of mass 20 kg and radius 0.5 m as shown in the figure. The wheel rolls without slipping on the horizontal surface, and the acceleration of its center of mass has magnitude 0.5 m/s 2 . What is the rotational inertia of the wheel about the rotation axis through its center of mass? (1) 5 kg · m 2 (2) 10 kg · m 2 (3) 2.5 kg · m 2 (4) 25 kg · m 2 (5) 40 kg · m 2 20. A skier starts from rest at height H above the end of a ski-jump ramp. As the skier leaves the ramp, his velocity makes an angle of θ with the horizontal as shown in the figure. Neglect the effects of air resistance and assume the ramp is frictionless. If the maximum height h of his jump above the end of the ramp is equal to H/ 4, what is the angle θ ? (1) 30 (2) 45 (3) 14.5 (4) 60 (5) Need to know H
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• Spring '08
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