A playground ride consists of a disk of mass M = 48 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 17 kg runs at speed v = 2.7 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. m V M R

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 4.8OQ: A girl, moving at 8 m/s on in-line skates, is overtaking a boy moving at 5 m/s as they both skate on...
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(j) Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including the axle), from just before to just
after impact, due to the impulse applied by the axle. Take the x axis to be in the direction of the initial velocity of the child.
APx = PxfPx.i =
ANGULAR MOMENTUM
(k) The child on the disk walks inward on the disk and ends up standing at a new location a distance R/2 = 1.1 m from the axle. Now what is the
angular speed? (It helps to do this analysis algebraically and plug in numbers at the end.)
@)) =
kg.m/s
radians/s
Transcribed Image Text:(j) Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including the axle), from just before to just after impact, due to the impulse applied by the axle. Take the x axis to be in the direction of the initial velocity of the child. APx = PxfPx.i = ANGULAR MOMENTUM (k) The child on the disk walks inward on the disk and ends up standing at a new location a distance R/2 = 1.1 m from the axle. Now what is the angular speed? (It helps to do this analysis algebraically and plug in numbers at the end.) @)) = kg.m/s radians/s
A playground ride consists of a disk of mass M = 48 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 17 kg runs at
speed v = 2.7 m/s on a line tangential to the disk and jumps onto the outer edge of the disk.
m
V
M
R
Transcribed Image Text:A playground ride consists of a disk of mass M = 48 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 17 kg runs at speed v = 2.7 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. m V M R
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