Can an object be in equilibrium if it is in motion?

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An object can be in equilibrium while in motion if it maintains a constant velocity, which indicates dynamic equilibrium. For equilibrium to exist, both net external forces and net torque must equal zero. However, if an object is moving in a circular path, a net centripetal force is required, meaning it is not in equilibrium. The distinction between translational and rotational equilibrium is crucial; an object can be in rotational equilibrium while not being in translational equilibrium if it is spinning without acceleration. Overall, motion does not preclude equilibrium, but specific conditions must be met.
linhison
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Homework Statement
Can an object be in equilibrium if it is in motion? Explain
* This is a prelab question to a lab that deals with equilibrium and torque

The attempt at a solution
My thought process:

- Equilibrium means that:
1) Net external forces = 0
2) Net torque = 0
- Net torque is related to angular acceleration, so if net torque = 0, then angular acceleration = 0.
0 acceleration could mean constant velocity which would mean that the object is in motion.
*Not sure if this second point is correct*
-If an object is at constant velocity around an axis of rotation, are the external forces at equilibrium?
 
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linhison said:
Homework Statement
Can an object be in equilibrium if it is in motion? Explain
* This is a prelab question to a lab that deals with equilibrium and torque

The attempt at a solution
My thought process:

- Equilibrium means that:
1) Net external forces = 0
2) Net torque = 0
- Net torque is related to angular acceleration, so if net torque = 0, then angular acceleration = 0.
0 acceleration could mean constant velocity which would mean that the object is in motion.
*Not sure if this second point is correct*

Either the object is at rest or is moving with constant velocity . In the former case we say it is in static equilibrium . In the later it is in dynamic equilibrium .
linhison said:
-If an object is at constant velocity around an axis of rotation, are the external forces at equilibrium?

If the object is moving with constant speed around an axis of rotation then there must be a net centripetal force acting on it . The object is not at equilibrium .
 
conscience said:
Welcome to PF !
Either the object is at rest ...
Actually, there is no such thing, in and of itself and as a stand-alone statement like that. This may sound like nitpicking (and possibly for the purposes of this problem it is) but it is a very important point. All motion is relative. Something may be at rest in the frame of reference of the lab bench on which it is sitting, but it is not "at rest" or "in motion" in any absolute sense (unless it's accelerating, but that's a different story).
 
conscience said:
If the object is moving with constant speed around an axis of rotation then there must be a net centripetal force acting on it . The object is not at equilibrium .

phinds said:
unless it's accelerating, but that's a different story
From a little Googling, the general view seems to be that one should distinguish translational from rotational equilibrium. An object spinning about its mass centre at a constant rate is considered to be in rotational equilibrium. If its mass centre is not accelerating then it would also be in translational equilibrium. This seems to fit with the OP's view.

In fact, I added the 'mass centre' qualifier, others don't. But maybe the thinking is that if it is spinning about some other axis at constant speed then it is in rotational equilibrium (no net torque) but not translational equilibrium.
 
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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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