Quiz6a - a The angular momentum of the platform stays...

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Physics 53 Quiz #6a Fall 2007 Name ___________________________ Recit. Section _______ Circle the correct answer: 1. [2 points] Consider a thin, stiff rod rotating about an axis through its center, which is oriented perpendicular to the rod. Four large massive beads can be slid into positions anywhere along the rod. Which is the configuration of the beads that maximizes the moment of inertia about the axis of rotation? [Hint: Assume that the diameter of a bead is 1/10 of the length of the rod.] a) All four beads on one end of the rod. b) Two beads at each end. c) One bead on one side, three on the other side. d) It does not matter; all have the same moment of inertia. (a) (b) (c) 2. [2 points] A person initially stands at the center of a freely rotating platform. The person then walks half-way towards the outer edge and remains there. Which of the following statements is correct?

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Unformatted text preview: a) The angular momentum of the platform stays constant. b) The angular momentum of the person stays constant. c) The sum of the angular momenta of the platform and the person stays constant. d) None of the above. 3. [4 points] A solid disk of mass 4 kg and 10 cm radius rolls (without slipping) down a 30 ° incline, which is 6 m long. What is the velocity of the center of mass of the disk when it arrives at the bottom of the incline? [Hint: The moment of inertia I of a solid disk of mass M and radius R is I = 1 2 MR 2 . Use g = 10 m/s 2 .] a) 4.47 m/s. b) 6.32 m/s. c) 7.75 m/s. d) 8.94 m/s. 4. [2 points] An object at rest begins to rotate with a constant angular acceleration. If this object rotates through 720º in 8.00 seconds, through what angle did it rotate in the first 4 seconds after it started rotating? a) 180º. b) 270º. c) 360º. d) 540º....
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