A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 14.5 g cylinder has a total length of 6.65 cm. The 41.5 g disk has a radius of 1.75 em, and its center of masN is located a distance of 1.51 cm from the tip at the bottom of the thin cylinder. The child places the top on its pedestal and gives it an angular speed of 72.5 rad/s. When she turns to show her parents, she accidentally bumps the top, which begins to precess about a vertical axis through the point where the top contacts the pedestal. As the top precesses, it makes an angle o= 12.8 with the vertical axis. Determine the precessional angular speed o, of the top. Use g= 9.81 m/s for the acceleration due to gravity, and assume that the moment of inertia of the thin cylinder is negligible. rad/s

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A child buys a top composed of a thin uniform cylinder and a
broad uniform disk. The 14.5 g cylinder has a total length of
6.65 cm. The 41.5 g disk has a radius of 1.75 cm, and its
center of mass is located a distance of 1.51 cm from the tip at
the bottom of the thin cylinder.
The child places the top on its pedestal and gives it an angular
speed of 72.5 rad/s. When she turns to show her parents, she
accidentally bumps the top, which begins to precess about a
vertical axis through the point where the top contacts the
pedestal. As the top precesses, it makes an angle o = 12.8"
with the vertical axis.
Determine the precessional angular speed o, of the top. Use
g = 9.81 m/s for the acceleration due to gravity, and assume
that the moment of incrtia of the thin cylinder is negligible.
rad/s
Transcribed Image Text:A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 14.5 g cylinder has a total length of 6.65 cm. The 41.5 g disk has a radius of 1.75 cm, and its center of mass is located a distance of 1.51 cm from the tip at the bottom of the thin cylinder. The child places the top on its pedestal and gives it an angular speed of 72.5 rad/s. When she turns to show her parents, she accidentally bumps the top, which begins to precess about a vertical axis through the point where the top contacts the pedestal. As the top precesses, it makes an angle o = 12.8" with the vertical axis. Determine the precessional angular speed o, of the top. Use g = 9.81 m/s for the acceleration due to gravity, and assume that the moment of incrtia of the thin cylinder is negligible. rad/s
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