Torque T & Its Work: No Gravity, No Friction

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Homework Help Overview

The discussion revolves around the concept of torque applied to a spinning gyro, specifically focusing on the work done by the torque in the absence of gravity and friction. Participants are examining the implications of torque on the gyro's motion and energy transfer.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of the equations presented and the nature of the work done by torque. There are discussions about the initial conditions of the gyro, the effects of torque, and the energy transformations involved.

Discussion Status

Some participants have provided insights into the mechanics of the problem, while others are still seeking clarification on the equations and the physical implications of the torque applied to the gyro. There is an ongoing exploration of different interpretations of the scenario.

Contextual Notes

There is mention of a spinning disk and its moment of inertia, as well as the absence of external forces like gravity and friction, which may affect the analysis. The original poster's question about the work done by torque and its final contribution remains a point of inquiry.

kyiydnlm
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gyro.jpg


Read the picture please. My question is: where does the work done by torque T go and is the equation on left all right? No gravity, no friction.
 
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Come on man, how come this problem be an Introductory Physics homework?
 
Trying showing some work and explaining the situation a little. What you're given and such. All i see is a spinning disc with some 'spin' and torque.
 
Sorry.

The "spinning disk" is a gyro spinning at angular speed omega and the moment of inertia about this spinning axis is I.

A torque T is applied on the gyro and perpendicular to spin axis, the torque is also called gyroscopic torque.

The rotation caused by torque T is theta. theta dot is derivative of theta, theta dot dot is second order derivative of theta. Moment of inertia about theta axis is Iy (perpendicular to spin axis).

My question: is the equation on the left of the picture all right? The work done by T (gyroscopic torque) contributes to what, where it goes finally?
 
The work done by T torque is the... κινητικη ενεργεια... kinimatecal or mobility energy how you call it. If I understood correct the T at first stops the gyro THEN makes it move with a different dirrection. So at first it has negative work (takes from it's energy because of the movement) and after the stop it gives to it.
 
Not that case. The spinning gyro is at rest at beginning; then a torque is applied. What happens? If torque is dismissed after a while, then what?
 
Solved!
I figured it out.
 

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