A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 4.21 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T = 1.65 N of constant tension to each string. If it %3D takes 0.740 s for the string to unwind, how much angular momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. L = kg-m2 Point P is located on the outer surface of the top, a distance h = 31.0 mm above the ground. The angle that the outer %3D surface of the top makes with the rotation axis of the top is 0 = 28.0°. If the final tangential speed v of point P is 1.05 m/s, what is the top's moment of inertia I?

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18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter10: Fixed-axis Rotation
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A child's top is held in place upright on a frictionless surface.
The axle has a radius of r =
4.21 mm. Two strings are
wrapped around the axle, and the top is set spinning by
T
T
applying T = 1.65 N of constant tension to each string. If it
%3D
takes 0.740 s for the string to unwind, how much angular
2r
momentum L does the top acquire? Assume that the strings
do not slip as the tension is applied.
kg-m2
%3D
S
Point P is located on the outer surface of the top, a distance
h :
= 31.0 mm above the ground. The angle that the outer
surface of the top makes with the rotation axis of the top is
0 = 28.0°. If the final tangential speed v, of point P is
1.05 m/s, what is the top's moment of inertia I?
T.
2r
kg-m2
Transcribed Image Text:A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 4.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 1.65 N of constant tension to each string. If it %3D takes 0.740 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. kg-m2 %3D S Point P is located on the outer surface of the top, a distance h : = 31.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 28.0°. If the final tangential speed v, of point P is 1.05 m/s, what is the top's moment of inertia I? T. 2r kg-m2
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