ENG102_HW7

ENG102_HW7 - r d = 0 . 1 m and has mass 0.2kg. 3. A thin...

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DATE: November 6, 2011 DUE: November 11 14 (before Noon), 2011 ENG102, homework set #7. 1. Look at Problem 3/354 on page 266 in the book. a. Solve the problem with the additional information that each mass is a solid sphere with radius r = 0 . 1 m . b. What is the loss in kinetic energy? c. Assume that the point G is held fixed (by a nail, or something) such that the object can rotate freely around G . Solve the problem (1a) with this change. d. Answer 1b with the change described in 1c. e. What is the direction and magnitude of the impulse acting on the nail in G over the time of collision? 2. Look at Problem 3/233 on page 216 in the book. a. Solve the problem with the additional information that each 3kg mass is a hol- low sphere with radius r = 0 . 1 m and that the given distance 0 . 4 m is from the center of the axis of rotation to the center of mass of the spheres. b. Now also include the linear sticks of length 0.3m, each with mass 0.1kg, and solve the problem. c. Now also include the solid disk that the string is wound. The disk has
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Unformatted text preview: r d = 0 . 1 m and has mass 0.2kg. 3. A thin rod with mass M and length l can rotate freely around one end ( A ). A small projectile with mass m hits the rod horizontally with a velocity v at a distance a from A . The small projectile becomes embedded in the rod after the collision. m l a A v M a. Determine the angular momentum of the system around A immediately before and after the collision. b. Determine the angular velocity immediately after the collision. c. Determine the momentum of the system immediately before and after the collision. d. Determine a such that the momentum is conserved during the collision. e. Express the impulse (and its direction) acting on the rod by the hinge during the collision. Niels Grnbech Jensen DEPARTMENT OF MECHANICAL AND AERONAUTICAL ENGINEERING | UNIVERSITY OF CALIFORNIA | DAVIS, CALIFORNIA 95616 TEL: 530.752.5335...
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