Rotational and translational equilibrium

In summary, the conversation discusses the concept of equilibrium in relation to a ruler placed on a pivot and pushed from one side. It is mentioned that this results in a moment, but there is confusion about the presence of linear movement and rotational equilibrium. It is clarified that the nature automatically supplies an upward reaction force at the pivot, balancing the downwards force and maintaining equilibrium.
  • #1
sgstudent
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When a ruler is placed on a pivot and I push it down from one side, then there is a moment. But then is there any linear movement? Since there is no translational equilibrium then won't there be a linear motion? Then how does rotational equilibrium come into play here?
 
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  • #2
hi sgstudent! :smile:
sgstudent said:
When a ruler is placed on a pivot and I push it down from one side, then there is a moment. But then is there any linear movement? Since there is no translational equilibrium then won't there be a linear motion? Then how does rotational equilibrium come into play here?

i don't understand :redface:

if you push it, it will change position …

where does equilibrium come into it? :confused:
 
  • #3
tiny-tim said:
hi sgstudent! :smile:


i don't understand :redface:

if you push it, it will change position …

where does equilibrium come into it? :confused:

Oh sorry! I meant that when I push one side of a ruler on a pivot then I'll get a moment that is either clockwise or anticlockwise right? But since there only that downwards force acting on it, won't it mean that it does not have translational equilibrium?
 
  • #4
hi sgstudent! :smile:
(just got up :zzz:)
sgstudent said:
But since there only that downwards force acting on it, won't it mean that it does not have translational equilibrium?

ah!

but nature automatically supplies an upward reaction force at the pivot …

which exactly balances the downwards force! :wink:
 
  • #5
Oh, I understand :-) thanks for the help!
 

FAQ: Rotational and translational equilibrium

What is rotational equilibrium?

Rotational equilibrium is a state in which an object's net torque is equal to zero. This means that the object is not rotating or is rotating at a constant rate.

What is translational equilibrium?

Translational equilibrium is a state in which an object's net force is equal to zero. This means that the object is not moving or is moving at a constant velocity.

How is rotational equilibrium different from translational equilibrium?

Rotational equilibrium deals with an object's rotation, while translational equilibrium deals with an object's motion in a straight line. In rotational equilibrium, the net torque is equal to zero, while in translational equilibrium, the net force is equal to zero.

What is the relationship between torque and force in rotational equilibrium?

In rotational equilibrium, the net torque acting on an object is equal to the product of the force and the perpendicular distance from the pivot point. This relationship is known as the cross product and is represented by the equation τ = r x F.

How can I determine if an object is in rotational and translational equilibrium?

To determine if an object is in rotational equilibrium, you can calculate the net torque acting on the object and see if it is equal to zero. To determine if an object is in translational equilibrium, you can calculate the net force acting on the object and see if it is equal to zero. If both conditions are met, then the object is in both rotational and translational equilibrium.

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