Nonequilibrium Application of Newton's Laws of Motion
Nonequilibrium Application of Newton's Laws of Motion
Definition of Nonequilibrium
- An object is considered to be in a state of nonequilibrium when it is accelerating.
Newton's Laws of Motion in Nonequilibrium
- The application of Newton's laws changes when we discuss motion in a state of nonequilibrium.
Key Equations
- The following equations represent the relation between the net force and mass in a state of acceleration:
- \Sigma E = ma_x
- \Sigma Ey = may
- \Sigma E = ma_z
Explanation of the Equations
Net Force (ΣE) in x-direction:
- The net force acting on an object in the x-direction is given by the equation:
- Equation: \Sigma E = ma_x
- Where:
- \Sigma E : Net force in the x-direction
- m : Mass of the object
- a_x : Acceleration in the x-direction
- The net force acting on an object in the x-direction is given by the equation:
Net Force (ΣE) in y-direction:
- Similarly, for the y-direction:
- Equation: \Sigma Ey = may
- Where:
- \Sigma E_y : Net force in the y-direction
- m : Mass of the object
- a_y : Acceleration in the y-direction
- Similarly, for the y-direction:
Net Force (ΣE) in z-direction:
- And for the z-direction:
- Equation: \Sigma E = ma_z
- Where:
- \Sigma E : Net force in the z-direction
- m : Mass of the object
- a_z : Acceleration in the z-direction
- And for the z-direction:
Implications
- These equations demonstrate that in any direction (x, y, or z), if an object is in a state of acceleration (nonequilibrium), the forces acting upon it must yield a net force equal to its mass multiplied by its acceleration in that respective direction.