A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 2.71 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T = 1.40 N of constant tension to each string. If it takes 0.800 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 S Point P is located on the outer surface of the top, a distance T 2r R P

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A child's top is held in place upright on a frictionless surface.
The axle has a radius of r = 2.71 mm. Two strings are
wrapped around the axle, and the top is set spinning by
applying T = 1.40 N of constant tension to each string. If it
takes 0.800 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
S
Point P is located on the outer surface of the top, a distance
h = 35.0 mm above the ground. The angle that the outer
surface of the top makes with the rotation axis of the top is
0 = 24.0°. If the final tangential speed u, of point P is
1.55 m/s, what is the top's moment of inertia I?
I=
kg.m²
T
T
2r
R
2r
T
T
Transcribed Image Text:A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 2.71 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T = 1.40 N of constant tension to each string. If it takes 0.800 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 S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed u, of point P is 1.55 m/s, what is the top's moment of inertia I? I= kg.m² T T 2r R 2r T T
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