O Macmillan Learning A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 2.46 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 takes 0.710 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 = 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 = 19.0°. If the final tangential speed v₁ of point P is 1.65 m/s, what is the top's moment of inertia I? I = kg.m²

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A child's top is held in place upright on a frictionless surface. The axle has a radius of ?=2.46 mm. Two strings are wrapped around the axle, and the top is set spinning by applying ?=1.65 N of constant tension to each string. If it takes 0.710 s for the string to unwind, how much angular momentum ? does the top acquire? Assume that the strings do not slip as the tension is applied. Side view of a top. The top consists of a cone capped by a wide, flat cylinder, which is in turn topped by a cylindrical axle of radius lowercase r. The sides of the cone make an angle theta with a line drawn through the top's rotation axis. Two tension forces point in opposite horizontal directions. The tension pointing to the right acts on the front of the axle, and the tension pointing to the left acts on the back of the axle. A point P is located on the outer edge of the cone, a height h above the ground and a distance capital R from the rotation axis. View of top from above. The cylindrical axle of radius lowercase r sits atop the wide, flat cylinder. Two tension forces act on the axle. The tension pointing to the right acts on the front of the axle, perpendicular to a diameter drawn vertically through the axle. The tension pointing to the left acts on the rear of the axle, perpendicular to the same diameter. ?= kg·m2s 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 ?=19.0∘. If the final tangential speed ?t of point P is 1.65 m/s, what is the top's moment of inertia ??
O Macmillan Learning
A child's top is held in place upright on a frictionless surface.
The axle has a radius of r = 2.46 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
takes 0.710 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 = 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 = 19.0°. If the final tangential speed v₁ of point P is
1.65 m/s, what is the top's moment of inertia I?
I =
kg.m²
T
T
2r
R
2r
P
T
T
Transcribed Image Text:O Macmillan Learning A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 2.46 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 takes 0.710 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 = 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 = 19.0°. If the final tangential speed v₁ of point P is 1.65 m/s, what is the top's moment of inertia I? I = kg.m² T T 2r R 2r P T T
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