Set 7- Moment of Inertia and Rotation

Set 7- Moment of Inertia and Rotation - Sonia Rahangdale...

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Unformatted text preview: Sonia Rahangdale- PHY 231 Fall 2006 1 Set 07 (10/31 midnight) Due date: Tue Oct 31 23:59:00 2006 Three small spherical masses are located in a plane at the positions shown below.-4-3-2-1 1 2 3 4-5-4-3-2-1 1 2 3 4 5 Y (m) X (m) Q S R The masses are Q=0.400 kg, R=0.800 kg, and S=0.700 kg. Calculate the moment of inertia (of the 3 masses) with respect to an axis perpendicular to the xy plane and passing through x=0 and y=-2. [Since the masses are of small size, you can neglect the contribution due to moments of inertia about their centers of mass.] Tries 0/12 A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see figure). The force is then increased slowly and then maintained constant when M travels around in circle (y). The radius of circle (x) is twice the radius of circle (y). Choices: true , false , greater than , less than , equal to . A. M’s kinetic energy at y is twice that at x. B. M’s angular velocity at y is twice that at x. C. As M moves from x to y, the work done by F is .... 0. D. While going from x to y, there is no torque on M E. M’s angular momentum at y is .... that at x. Tries 0/12 M, a solid cylinder (M=2.11 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.770 kg mass, i.e., F = 7.554 N. Calculate the angular acceleration of the cylinder. F M R Tries 0/12 If instead of the force F an actual mass m = 0.770 kg is hung from the string, find the angular acceleration of the cylinder. M R m Tries 0/12 How far does m travel downward between 0.510 s and 0.710 s after the motion begins? Tries 0/12 Sonia Rahangdale- PHY 231 Fall 2006 3 Set 07 (10/31 midnight) The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.371 m in a time of 0.470 s. Find I cm of the new cylinder. Tries 0/12 A solid homogeneous sphere of mass M = 2.90 kg is released from rest at the top of an incline of height H=1.57 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 28.7 o to the horizontal....
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Set 7- Moment of Inertia and Rotation - Sonia Rahangdale...

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