Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 13.8 g cylinder has a total length of 7.00 cm. The 43.0 g disk has a radius of 2.25 cm, and its center of mass is located a distance of 1.87 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 97.5 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 = 22.8° with the vertical axis. Determine the precessional angular speed w, of the top. Use g = 9.81 m/s² for the acceleration due to gravity, and assume that the moment of inertia of the thin cylinder is negligible. Op = rad/s

A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 13.8 g cylinder has a total length of 7.00 cm. The 43.0 g disk has a radius of 2.25 cm, and its center of mass is located a distance of 1.87 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 97.5 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 = 22.8° with the vertical axis. Determine the precessional angular speed w, of the top. Use g = 9.81 m/s² for the acceleration due to gravity, and assume that the moment of inertia of the thin cylinder is negligible. Op = rad/s

icon
Related questions
Question
7
A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 13.8 g cylinder has a total length of 7.00 cm. The 43.0 g disk has a radius of 2.25 cm, and its center of mass is located a distance of 1.87 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 97.5 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 = 22.8° with the vertical axis. Determine the precessional angular speed w, 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
Transcribed Image Text:A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 13.8 g cylinder has a total length of 7.00 cm. The 43.0 g disk has a radius of 2.25 cm, and its center of mass is located a distance of 1.87 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 97.5 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 = 22.8° with the vertical axis. Determine the precessional angular speed w, 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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer