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Rotational motion: Rate of precession of a rotating wheel.

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A wheel with mass less spokes has mass 1 kg and radius 10 cm and is mounted on one end of a mass less axle as figure.
The axle rests on a pivot at a point 16 cm from the mounting point and 10 cm from the wheel.
At the other end, a mass of 0.8 kg is attached.
The wheel spins at an angular frequency of 10 rad/s.

What is the rate of precession?

Hope you can explain the steps.

Thank you.

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Solution Summary

Very good solution to learn concepts of rotational motion. Explaining the precession of a rotating wheel and counter mass on axle. The frequency of precession is calculated.

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A wheel with massless spokes has mass 1 kg and radius 10 cm and is mounted on one end of a massless axle as figure.
The axle rests on a pivot at a point 16 cm from the mounting point and 10 cm from the wheel.
At the other end, a mass of 0.8 kg is attached.
The wheel spins at an angular frequency of 10 rad/s.

what is the rate of precession?

Mass of the wheel M = 1 kg
Radius of the wheel R = 10 cm = 0.1 m
Mass of the body m = 0.8 kg
Angular velocity of the wheel =10 rad/s
Moment of inertia of the wheel about ...

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