A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 1.40N of constant tension to each string. If it takes 0.590 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. R P kg-m? L = Point P is located on the outer surface of the top, a distance h = 27.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 22.0°. If the final tangential speed v of point P is 1.95 m/s, what is the top's moment of inertia I? T 2r T kg-m2

Principles of Physics: A Calculus-Based Text
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Chapter3: Motion In Two Dimensions
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Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...
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A child's top is held in place upright on a frictionless surface.
The axle has a radius of r = 3.21 mm. Two strings are
wrapped around the axle, and the top is set spinning by
T
T
applying T = 1.40N of constant tension to each string. If it
takes 0.590 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.
R
P
h
kg-m?
%3D
S
Point P is located on the outer surface of the top, a distance
h = 27.0 mm above the ground. The angle that the outer
surface of the top makes with the rotation axis of the top is
0 = 22.0°. If the final tangential speed v, of point P is
1.95 m/s, what is the top's moment of inertia I?
2r
T.
I =
kg-m?
Transcribed Image Text:A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 1.40N of constant tension to each string. If it takes 0.590 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. R P h kg-m? %3D S Point P is located on the outer surface of the top, a distance h = 27.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 22.0°. If the final tangential speed v, of point P is 1.95 m/s, what is the top's moment of inertia I? 2r T. I = kg-m?
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