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

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An object can experience a net force of zero while still having a net torque that is not zero, leading to rotational motion. Newton's laws state that if an object is not acted upon by external forces, it will maintain its state of motion, but this applies only when both net force and net torque are zero. In cases where opposing torques are applied at different distances, the object can rotate despite the sum of forces being balanced. The discussion highlights the distinction between translational and rotational equilibrium, emphasizing that both conditions must be satisfied for complete equilibrium. Understanding these principles is crucial for analyzing the motion of extended bodies.
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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
 
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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?

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