College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:The figure shows three 0.0138 kg particles that have been glued to a rod of length L=5.71 cm and negligible mass. The assembly can
rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what
percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the
innermost one and (b) the outermost one?
Axis
m
p.
(a) Number
Units
(b) Number
Units
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- A disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2 and the rotational inertia of the child is 80 kgm2. Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm2. Calculate the new angular velocity of the disk and two children.arrow_forwardA disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2 and the rotational inertia of the child is 80 kgm2. Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm2. Calculate the new angular velocity of the disk and two children.arrow_forwardThe figure shows three 0.0146 kg particles that have been glued to a rod of length L-5.58 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number (b) Number Axis Units Units 0 m m m |a+d+d+arrow_forward
- A baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 41 rad/s and a linear speed of 34 m/s. Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. KErotational = KE translational =arrow_forwardPlease answer E16,E17arrow_forwardIn the figure here, three particles of mass m = 0.017 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed w = 0.55 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly? M (a) /= i (b) L₂ = i (c) Ltot 0 marrow_forward
- In the figure, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a rotation axis at 0, by two thin rods, each with length d = 5.6 cm and mass M = 1.3 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? M. M. Rotation axis (a) Number i Units (b) Number i Unitsarrow_forwardThe figure shows three 0.0114 kg particles that have been glued to a rod of length L= 5.70 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis m m (a) Number i Units (b) Number i Units >arrow_forward
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