What Axis is Used When Calculating Torque?

Click For Summary

Discussion Overview

The discussion revolves around the concept of torque, specifically regarding the axis used when calculating torque about a point. Participants explore the relationship between torque, force, and the radius vector, as well as the implications of defining an axis in the context of rotational motion. The conversation touches on theoretical and conceptual aspects of torque in physics.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question how rotational motion can occur without a specified axis and whether a pre-fixed axis is necessary for analysis.
  • Others propose that torque involves the force and the radius vector, suggesting that the vector product defines the direction of an instantaneous axis of rotation.
  • A participant raises the issue of whether calculating torque and angular momentum about a point is useful if a body cannot rotate about that point.
  • Some argue that when discussing torque "about a point," it is understood that the axis is perpendicular to the plane passing through that point.
  • One participant mentions that torque is a pseudo-vector quantity with direction, emphasizing that it is determined by the vector cross-product of the force and radius vector.
  • A later reply suggests that an axis or point of rotation can be chosen arbitrarily for convenience, even in static analyses, such as with a bridge.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and nature of the axis when calculating torque. Some assert that an axis must be specified, while others argue that no assumption of an axis is made when discussing torque about a point. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight the complexity of torque in three-dimensional space and the implications of defining axes in various contexts, such as static versus dynamic analyses. There are unresolved questions regarding the assumptions made about the axis and its relevance to the analysis of rotational motion.

Ajaysabarish97
Messages
5
Reaction score
0
When we say torque about a point what axis do we mean,how can rotational motion happen without an axis?
 
Physics news on Phys.org
Ajaysabarish97 said:
When we say torque about a point what axis do we mean,how can rotational motion happen without an axis?
The axis has to be specified or calculated.
 
Ajaysabarish97 said:
When we say torque about a point what axis do we mean,how can rotational motion happen without an axis?

Torque involves two physical variables the Force and the radius vector drawn from the fixed point to the force ( point of application of the force)
Does the definition of torque , the vector product of the two defines the direction of an instantaneous axis of rotation transferred to the fixed point?

The effect of torque is motion (rotational /spin motion). Let us try to understand the effect ...i.e. the rate of change of rotational /angular momentum as equivalent to net external torque.
so do you think a pre-fixed axis is necessary to analyze the orbital/spin motion. or a fixed point (may be center of mass of the system) can serve the purpose.
 
drvrm said:
Torque involves two physical variables the Force and the radius vector drawn from the fixed point to the force ( point of application of the force)
Does the definition of torque , the vector product of the two defines the direction of an instantaneous axis of rotation transferred to the fixed point?

The effect of torque is motion (rotational /spin motion). Let us try to understand the effect ...i.e. the rate of change of rotational /angular momentum as equivalent to net external torque.
so do you think a pre-fixed axis is necessary to analyze the orbital/spin motion. or a fixed point (may be center of mass of the system) can serve the purpose.
Thank you for replying sir,when we say torque about a point,do we assume the axis is perpendicular to the plane passing through that point?and we study torque and angular momentum to analyse the rotational motion of a body,what is the use of calculating torque and angular momentum about a point when body can't rotate about a point.
 
russ_watters said:
The axis has to be specified or calculated.
But when we say,torque about a point we don't assume any axis sir.
 
russ_watters said:
The axis has to be specified or calculated.
But when we say,torque about a point we don't assume any axis sir.
 
Ajaysabarish97 said:
But when we say,torque about a point we don't assume any axis sir.

Yes we do. That's why we say "about a point".

A child on a seesaw (teetertotter) creates a torque about the pivot point of the seesaw. They create no torque about their seat.
 
Ajaysabarish97 said:
Thank you for replying sir,when we say torque about a point,do we assume the axis is perpendicular to the plane passing through that point?

Yes.

and we study torque and angular momentum to analyse the rotational motion of a body,what is the use of calculating torque and angular momentum about a point when body can't rotate about a point.

Why do you think a body cannot rotate about a point?
 
Ajaysabarish97 said:
But when we say,torque about a point we don't assume any axis sir.
When discussing torque "about a point", we are working in three dimensions. The torque will not be a scalar quantity which is merely positive or negative (clockwise or counter clockwise). It will be a [pseudo-]vector quantity with direction as well.

The direction of the torque pseudo-vector is perpendicular to both the applied force and to the radius vector. It is determined by the vector cross-product of the two.
 
  • Like
Likes   Reactions: CWatters
  • #10
Taking this broader; references are arbitrarily chosen for your convenience. You don't even need there to be any rotation at all to choose an axis/point of rotation and you can use whatever location helps your analysis.

Consider a static analysis of a simple two-dimensional bridge. To analyze it, you sum the torques around one of the supports. And for a more complicated real bridge, you'll analyze the torques around various points along the span of the bridge to ensure the bridge's bending resistance is strong enough.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K