What is the angular momentum vector of the rotating bar in
Therefore the angular momentum of the rotating bar is
The rotation between angular momentum and angular velocity of the bar can be
Here, is the moment of inertia of the bar and is the angular velocity of the bar, and the bar is rotating counter clockwise the angular velocity is in the direction.
The rotating bar is as shown in the below figure:
The mass of bar is convert the units of mass from
The angular velocity of the bar is Convert the units of bar from
The moment of inertia can be found using the equation for a thin rod around the center:
Substitute for for in the above frmula t solve the mooemnt of inertia of the bar
Substitute in equation to solve the angular momentum of the rotating bar.
The angular momentum is out of the page (counterclockwise rotation )
A toy gyroscope has a ring of mass M and radius R attached to the axle by lightweight spokes. The end of the axle is distance R from the center of the ring. The gyroscope is spun at angular velocity v, then the end of the axle is placed on a support that allows the gyroscope to precess. a. Find an expression for the precession frequency Ω in terms of M, R, v, and g. b. A 120 g, 8.0-cm-diameter gyroscope is spun at 1000 rpm and allowed to precess. What is the precession period?
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