Sum of all forces zero,but net torque not zero?

In summary, Newton's law states that the velocity of an object will remain constant if it is not pushed or pulled upon. However, this is only true if the sum of all torques is also zero. In the case of a wheel being pulled in opposite directions with different distances, the greater torque will cause the wheel to move in that direction. It is also important to note that while the net force on an object can be zero, the net torque may not be, leading to two conditions for equilibrium.
  • #1
xailer
23
0
hiya

Newton's law says if an object is not pushed or pulled upon, its velocity will naturally remain constant, or body will remain standing still

But is this only true if the sum of all torques is also zero?

If we pull on wheel (its axis attached to something so it doesn't fall down ) standing upwards with same force clockwise and counter-clockwise, but the distance vector is not the same for both torques, then for example clockwise torque will be greater and wheel will start moving clockwise, even though sum off all forces is zero ?

thank you

bye
 
Physics news on Phys.org
  • #2
How do you define velocity of an object with many particles? You say the velocity of an object is equal to the velocity of its center of mass. Take your example, and you'll see that even though some particles were accelerated one way and others were accelerated the other way, the velocity of the center of mass, and thus the velocity of the object is unchanged. So Newtons law still holds. (lucky for us).
 
  • #3
So a sum of all forces equals zero for a body standing still or moving with constant velocity , but still net torque may not be equal equal to zero ?

I though there was a law saying something to the effect : "if an object is not pushed or pulled upon, or is standing still, then the sum of all external and internal torques equals zero"?

Do you have any idea what that is all about then?
 
  • #4
really need some explanation about this
 
  • #5
conditions for equilibrium

It is certainly possible for the net force on an object to be zero, yet the net torque not be zero. That's why, for an extended body (as opposed to a point mass), there are two conditions for equilibrium:
(1) The net force must be zero (translational equilibrium condition)
(2) The net torque about any axis must be zero (rotational equilibrium condition)
 
  • #6
thank you for your help
 

1. What does it mean when the sum of all forces is zero, but the net torque is not zero?

When the sum of all forces acting on an object is zero, it means that the object is in a state of translational equilibrium, or is not accelerating. However, if the net torque is not zero, it means that the object is in a state of rotational equilibrium, but is still experiencing a rotation.

2. How can the sum of all forces be zero but the net torque not be zero?

This can occur when there are equal and opposite forces acting on an object, leading to a balanced force system. However, if these forces are not acting at the same distance from the axis of rotation, the object will experience a net torque and will rotate.

3. Can an object be in both translational and rotational equilibrium at the same time?

Yes, an object can be in both translational and rotational equilibrium if the sum of all forces acting on the object is zero and the net torque is also zero. This means that the object is not accelerating or rotating.

4. How does the sum of all forces and net torque affect an object's motion?

The sum of all forces affects an object's linear motion, while the net torque affects its rotational motion. If both are zero, the object will not experience any change in motion.

5. In what situations would the sum of all forces be zero but the net torque not be zero?

This can occur in situations where there are two or more forces acting on an object in opposite directions, but they are not aligned with the axis of rotation. For example, a seesaw may have equal weights on either side, but if one weight is closer to the pivot point, there will be a net torque acting on the seesaw.

Similar threads

  • Introductory Physics Homework Help
Replies
30
Views
2K
Replies
6
Views
779
  • Introductory Physics Homework Help
Replies
8
Views
467
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
755
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
1K
Back
Top