types of equilibrium in detail
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There are mainly three types of equilibrium: i) Stable equilibrium – when forces or disturbing moment is applied on a body such that on removal of that force or moment the body returns to its original position, it is called as Stable equilibrium.....
Definition
Equilibrium of a body is defined as the state when all the forces and actions acting on the body nullify each other resulting in a stable, balanced and unchanging position. It is the stage when the body is either in a state of rest or moving with a constant velocity.
Equation
The resultant force vector is represented by its two perpendicular components acting on the plane and the resultant moment vector is represented by circular arrow which indicates action
∑F∑F = ∑FX∑FX + ∑FY∑FY
∑MO∑MO = ∑|r x F|∑|r x F| = ∑Fd∑Fd
where dd is the perpendicular distance between any moment centre OO and the line of action of FF .
The equilibrium equation can be written in the scalar form as:
∑FX=0∑FY=0}∑FX=0∑FY=0} sum of the force components in the xx - and yy - directions are both zero.
∑MO=0∑MO=0 moment about any point OO at any axis that is perpendicular to the x−yx−y plane and passing through OO is zero.
Special Equilibrium Cases:
a) Collinear forces – ∑FX=0∑FX=0
b) Concurrent forces – ∑FX=0∑FX=0 , ∑FY=0∑FY=0
c) Parallel forces - ∑FX=0∑FX=0 , ∑MO=0∑MO=0 , ∑FY=0∑FY=0 ...
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ur answer.....
There are mainly three types of equilibrium: i) Stable equilibrium – when forces or disturbing moment is applied on a body such that on removal of that force or moment the body returns to its original position, it is called as Stable equilibrium.....
Definition
Equilibrium of a body is defined as the state when all the forces and actions acting on the body nullify each other resulting in a stable, balanced and unchanging position. It is the stage when the body is either in a state of rest or moving with a constant velocity.
Equation
The resultant force vector is represented by its two perpendicular components acting on the plane and the resultant moment vector is represented by circular arrow which indicates action
∑F∑F = ∑FX∑FX + ∑FY∑FY
∑MO∑MO = ∑|r x F|∑|r x F| = ∑Fd∑Fd
where dd is the perpendicular distance between any moment centre OO and the line of action of FF .
The equilibrium equation can be written in the scalar form as:
∑FX=0∑FY=0}∑FX=0∑FY=0} sum of the force components in the xx - and yy - directions are both zero.
∑MO=0∑MO=0 moment about any point OO at any axis that is perpendicular to the x−yx−y plane and passing through OO is zero.
Special Equilibrium Cases:
a) Collinear forces – ∑FX=0∑FX=0
b) Concurrent forces – ∑FX=0∑FX=0 , ∑FY=0∑FY=0
c) Parallel forces - ∑FX=0∑FX=0 , ∑MO=0∑MO=0 , ∑FY=0∑FY=0 ...
it helps u...
click me in thank u....
Mark me in brain list.....
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HERE IS YOUR ANSWER ⤵ ⤵ ⤵ ⤵
TYPES OF EQUILIBRIUM --
1.STABLE EQUILIBRIUM ----->
equilibrium is said to be stable when body comes to its exact position.
2.UNSTABLE EQUILIBRIUM ----->
equilibrium is said to be unstable when body does not come back to its exact position.
3.NEUTRAL EQUIPMENT ----->
equilibrium is said to be neutral when a body is not moving from its position in plane.
may it help you
HERE IS YOUR ANSWER ⤵ ⤵ ⤵ ⤵
TYPES OF EQUILIBRIUM --
1.STABLE EQUILIBRIUM ----->
equilibrium is said to be stable when body comes to its exact position.
2.UNSTABLE EQUILIBRIUM ----->
equilibrium is said to be unstable when body does not come back to its exact position.
3.NEUTRAL EQUIPMENT ----->
equilibrium is said to be neutral when a body is not moving from its position in plane.
may it help you
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