What is the relationship between torque and pole placement in rotating objects?

In summary, the magnitude of mechanical torque depends on the position of the center of rotation, and for static equilibrium situations, the net torque is zero as long as all individual torques add up to zero. However, if an object is spinning, different poles will result in different torques. A visual representation would be helpful in understanding this concept.
  • #1
fog37
1,568
108
Hello,

In the same frame of reference and using the same coordinate system , the magnitude of mechanical torque depends on the position of the center of rotation (pole): the lever arm distance varies depending on where the pole is.

For static equilibrium situations, the net torque is zero so as long as all the torques add to zero, it does not matter what each torque magnitude is.

But what if the object is not in rotational equilibrium but spins? Different poles will determine different torques. The location of the pole would seem to affect the situation a lot...not sure about this...

thanks!
fog37
 
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  • #2
A figure would certainly help. I have no idea what you are talking about without one.
 
  • #3
fog37 said:
what if the object is not in rotational equilibrium but spins? Different poles will determine different torques.

A force will produce a different torque about different points (if it's spinning or not).
 

What is torque and how is it related to pole placement?

Torque is a measure of the force that causes an object to rotate around an axis. In the context of pole placement, torque is used to determine the placement of poles in a control system, which is important for stability and performance.

Why is pole placement important in control systems?

Pole placement is important because it allows for the control of a system's response and behavior. By carefully selecting the placement of poles, a control engineer can ensure that the system is stable and has the desired response to inputs.

How do you calculate torque in a control system?

In a control system, torque can be calculated using the formula T = F x r, where T is torque, F is the force applied, and r is the distance from the axis of rotation to the point where the force is applied.

What are the factors that affect torque in a control system?

The factors that affect torque in a control system include the magnitude and direction of the applied force, the distance from the axis of rotation, and the moment of inertia of the object being rotated.

Can pole placement be used in all control systems?

Yes, pole placement can be used in all control systems. However, the specific method of pole placement may vary depending on the type of system and the desired response. Different techniques, such as root locus or state space methods, may be used for different systems.

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