Solving a Toy Gyroscope Physics Problem: Mass, Moment of Inertia, and Precession

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AI Thread Summary
The discussion revolves around solving a physics problem related to a toy gyroscope, focusing on calculating the upward force exerted by the pivot and the angular speed of the rotor. The total mass of the gyroscope and frame is calculated to be 0.165 kilograms, resulting in an upward force of 1.617 Newtons. For part (b), the user is seeking guidance on determining the angular speed in revolutions per minute. References to HyperPhysics are provided for additional support in understanding the concepts. The conversation highlights a collaborative effort to clarify gyroscopic principles and calculations.
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Homework Statement



The rotor (flywheel) of a toy gyroscope has mass 0.140 kilograms. Its moment of inertia about its axis is 1.20 x10^-4 kilogram meters squared. The mass of the frame is 0.0250 kilograms. The gyroscope is supported on a single pivot with its center of mass a horizontal distance 4.00 centimeters from the pivot. The gyroscope is precessing in a horizontal plane at the rate of one revolution in 2.20 seconds.

(a) Find the upward force \vec{n} exerted by the pivot.

(b)Find the angular speed w at which the rotor is spinning about its axis, expressed in revolutions per minute.

Homework Equations



yf_Figure_10_49.jpg


\taunet = I*\alpha

F = ma

The Attempt at a Solution



I'm new to gyroscopes, so if anyone can point me in the right direction and help me step by step, that would be great!
 
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part (a) =

(m_gyro + m_frame)g = 1.617N

part(b)---working on it
 
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