a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown. Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown.

Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.

-
up
R
cord
pivot
0.100 m
O
13↑
Transcribed Image Text:- up R cord pivot 0.100 m O 13↑
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To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop? 

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