Symmetric Axial Vector Torque and Uniform Forces: Exploring Equivalence

[rae20]

Would it be possible for a symmetric axial vector torque to be equivalent to the shear stress of two uniform rectilinear forces? as they seem to be non-related, but it works out that they should be.

 

[tiny-tim]

Welcome to PF!

Would it be possible for a symmetric axial vector torque to be equivalent to the shear stress of two uniform rectilinear forces? as they seem to be non-related, but it works out that they should be.

Hi rae20! Welcome to PF!

Any torque is equal to a pair of equal and opposite forces that aren't lined-up.

 

[charng]

I would like to clarify that the concept of symmetric axial vector torque and uniform forces are not directly related. However, there may be cases where they can be considered equivalent.

Symmetric axial vector torque refers to the rotational force applied to an object in a symmetric manner around its axis. This type of torque is commonly seen in mechanical systems such as gears and pulleys.

On the other hand, uniform forces refer to a system of forces that are evenly distributed and act in a parallel direction on an object. This creates a shear stress on the object, which is the tendency for it to deform or break.

While these two concepts may seem unrelated, there are situations where they can be considered equivalent. For example, in a symmetrical system, the forces acting on an object may cancel out each other, resulting in no net force but still creating a torque. In this case, the torque can be considered equivalent to the shear stress caused by the uniform forces.

However, it is important to note that this equivalence may not always hold true in all situations. It depends on the specific conditions and geometry of the system. Therefore, it is essential to carefully analyze the forces and torques involved in a system before making any assumptions about their equivalence.

In conclusion, while it is possible for a symmetric axial vector torque to be equivalent to the shear stress of two uniform rectilinear forces in certain cases, it is not a general rule and should be examined on a case-by-case basis.