Euler' s equations and tau = zero?

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In summary, a uniform circular disk with a mass m and radius a is rotating at a constant angular speed omega around an axis at an angle theta to its axis of symmetry. The angular momentum L and torque tau exerted on the disk by its supporting axis can be determined. The significance of tau being zero is that it simplifies the problem and allows for the use of Euler's equations to calculate the frequency and angular speed.
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student1938
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A uniform circular disk of mass m and radius a is constrained to rotate with constant angular speed omega abotu an axis making an angle theta with the disk' s axis of symmetry. Find the magnitude and direction of the angular momentum L and the torque tau exerted on the disk by its supporting axis. Give a physical interpretation of your answer.

We had doen a similar thing in class but the professor assumed that tau = 0 for some reason and then went on to get some precession related stuff. Do I follow the same steps(using Euler' s equations as he did) and if so what is the significance of the tau being zero?
 
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Come on ..something anything would be great.
 
  • #3
It would be useful if you post some of what your professor did (in particular: what was the statement of the problem he solved in class?, and what is this "tau" you mention?). The most info you give, the better.
 
  • #4
The assumption was that tau = 0 and from there, the Euler equations were solved and they gave a frequency. Along with that there was a few steps to show what omega was and that was about it really, I did not see anything special besides that.
 

FAQ: Euler' s equations and tau = zero?

What are Euler's equations?

Euler's equations are a set of mathematical equations that describe the motion of a rigid body in three-dimensional space. They are commonly used in mechanics and physics to analyze the rotational motion of objects.

How are Euler's equations derived?

Euler's equations are derived from the laws of motion and the principle of conservation of angular momentum. They can also be derived from the Lagrangian formulation of classical mechanics.

What is tau = zero in Euler's equations?

Tau = zero is a condition in Euler's equations where there is no external torque acting on the rigid body. This means that the total angular momentum of the system is conserved.

What is the significance of tau = zero in Euler's equations?

The condition of tau = zero in Euler's equations simplifies the equations and makes them easier to solve. It also allows for the conservation of angular momentum, which is an important physical quantity in rotational motion.

How are Euler's equations used in real-world applications?

Euler's equations are used in many fields, including engineering, robotics, and aerospace. They can be applied to analyze the motion of spacecraft, airplanes, and other rotating systems. They are also used in computer simulations to model the behavior of physical systems.

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