Why doesn't the gravity affect the torque along the z axis?

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Homework Help Overview

The discussion revolves around the effects of gravity on torque, particularly in relation to a system involving a turntable and its axis of rotation. Participants are exploring the concept of torque as it relates to forces acting in different directions, specifically questioning why gravity does not seem to contribute to torque along the z-axis.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the relationship between gravity and torque, questioning whether gravity can exert torque in the z-direction. There are discussions about the definitions of torque and the role of the angle between vectors in torque calculations.

Discussion Status

The conversation is ongoing, with participants raising questions about the direction of torque and angular momentum. Some guidance has been offered regarding the relationship between the direction of forces and the resulting torque, but there remains uncertainty about the implications for the specific scenario involving the turntable.

Contextual Notes

Participants are considering the scenario where a lump of putty is dropped onto a stationary turntable, prompting questions about the resulting torque and whether it would cause the turntable to tip. There is an exploration of assumptions regarding the system's behavior under the influence of gravity.

Physicslearner1
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Homework Statement


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Homework Equations

The Attempt at a Solution



I understand in general the argument of the problem, the only thing which I'm not sure of is why the gravity doesn't affect the torque. My guess is that it gets canceled by the normal force that is applied on the axle but I'm not 100 % sure.

Thanks ![/B]
 
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Can gravity exert a torque in the z-direction?
 
kuruman said:
Can gravity exert a torque in the z-direction?
Why couldn't it ? Torque is defined as the cross product of the distance from the origin and the net force, right ?
 
Physicslearner1 said:
Torque is defined as the cross product of the distance from the origin and the net force, right ?
Almost. Distance is a scalar, not a vector. If force ##\vec{F}## is applied at position vector ##\vec{r}##, the torque about the origin is ##\vec{r} \times \vec{F}##.

What is the direction of the torque if the force is gravity?
 
kuruman said:
Almost. Distance is a scalar, not a vector. If force ##\vec{F}## is applied at position vector ##\vec{r}##, the torque about the origin is ##\vec{r} \times \vec{F}##.

What is the direction of the torque if the force is gravity?
135 degrees in the xy plane ?
 
The angle is unimportant. What matters is that the torque is in the xy plane. In what direction is the angular momentum of the wheel?
 
Physicslearner1 said:
Torque is defined as the cross product of the distance [correction by Kuruman: displacement] from the origin and the net force, right ?
And what is the angle between the vector product and each of the original vectors?
 
haruspex said:
And what is the angle between the vector product and each of the original vectors?
It's perpendicular to both of them
 
Physicslearner1 said:
It's perpendicular to both of them
Right. And the force of gravity is in the z direction, so any torque it exerts must be at right angles to the z direction.
 
  • #10
haruspex said:
Right. And the force of gravity is in the z direction, so any torque it exerts must be at right angles to the z direction.
Ok, but I'm still not sure of understanding why torque is disregarded.
 
  • #11
In what direction is the torque?
In what direction is the angular momentum?
What is the direction in which the angular momentum can change?
How is the torque vector related to the change of angular momentum vector?
 
  • #12
Physicslearner1 said:
Ok, but I'm still not sure of understanding why torque is disregarded.
For the moment, suppose the turntable is stationary. We drop a lump of putty on one edge. This exerts a torque about a horizontal axis. Will the turntable tip? Why not?
 

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