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 = 3.15 N of constant tension to each string. If it takes 0.440 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 = Point P is located on the outer surface of the top, a distance h = 33.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 17.0°. If the final tangential speed u, of point P is 1.75 m/s, what is the top's moment of inertia I? I= kg.m² S || kg.m² T 2r R 2r SP T T

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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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
applying T = 3.15 N of constant tension to each string. If it
takes 0.440 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 = 33.0 mm above the ground. The angle that the outer
surface of the top makes with the rotation axis of the top is
0 = 17.0°. If the final tangential speed v₁ of point P is
1.75 m/s, what is the top's moment of inertia I?
I =
kg.m²
T
2r
R
2r
P
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 = 4.21 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T = 3.15 N of constant tension to each string. If it takes 0.440 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 = 33.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 17.0°. If the final tangential speed v₁ of point P is 1.75 m/s, what is the top's moment of inertia I? I = kg.m² T 2r R 2r P T T
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