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

Click For Summary
SUMMARY

The discussion centers on the conditions for equilibrium in physics, specifically addressing the relationship between net force and net torque. It is established that an object can experience a net force of zero while having a non-zero net torque, particularly in the case of extended bodies. The two conditions for equilibrium are defined as: (1) the net force must be zero for translational equilibrium, and (2) the net torque about any axis must also be zero for rotational equilibrium. This distinction is crucial for understanding the dynamics of objects under various forces and torques.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with concepts of force and torque
  • Knowledge of translational and rotational equilibrium
  • Basic principles of mechanics involving extended bodies
NEXT STEPS
  • Study the implications of Newton's laws on rotational dynamics
  • Explore the concept of center of mass and its significance in motion
  • Learn about the conditions for static and dynamic equilibrium
  • Investigate real-world applications of torque in engineering and physics
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the principles of motion and equilibrium in mechanics.

xailer
Messages
23
Reaction score
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
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).
 
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?
 
really need some explanation about this
 
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)
 
thank you for your help
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
30
Views
4K
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
7
Views
3K
Replies
31
Views
1K
  • · Replies 10 ·
Replies
10
Views
5K
Replies
9
Views
1K