A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 14.0 g cylinder has a total length of 6.85 cm. The 41.0 g disk has a radius of 2.15 cm, and its center of mass is located a distance of 1.81 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 65.0 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 Ф = = 24.4° with the vertical axis. Use · = 9.81 m/s² for the acceleration due to gravity, and g assume that the moment of inertia of the thin cylinder is negligible. Determine the precessional angular speed op of the top. @ R disk disk Op = rad/s

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A child buys a top composed of a thin uniform cylinder and a
broad uniform disk. The 14.0 g cylinder has a total length of
6.85 cm. The 41.0 g disk has a radius of 2.15 cm, and its
center of mass is located a distance of 1.81 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 65.0 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
Ф =
= 24.4° with the vertical axis.
Use · = 9.81 m/s² for the acceleration due to gravity, and
g
assume that the moment of inertia of the thin cylinder
is negligible.
Determine the precessional angular speed op of the top.
@
R disk
disk
Op =
rad/s
Transcribed Image Text:A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 14.0 g cylinder has a total length of 6.85 cm. The 41.0 g disk has a radius of 2.15 cm, and its center of mass is located a distance of 1.81 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 65.0 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 Ф = = 24.4° with the vertical axis. Use · = 9.81 m/s² for the acceleration due to gravity, and g assume that the moment of inertia of the thin cylinder is negligible. Determine the precessional angular speed op of the top. @ R disk disk Op = rad/s
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