Equilibrium and Its Mathematics
An object is in equilibrium when this quantity equals zero.
What is the net force?
ΣF=0
Sigma F = 0
ΣF=0.
This is the key difference between static and dynamic equilibrium.
What is “static is at rest, dynamic is moving at constant velocity”?
Explanation: Speed changes only when forces become unbalanced.
This must happen to change an object’s motion.
What is applying an unbalanced force?
Explanation: Motion changes only when forces are unbalanced.
This is the equation used to express equilibrium in any direction.
What is ΣF=0
Sigma F = 0
ΣF=0?
A book sitting on a table is an example of this type of equilibrium.
What is static equilibrium?
Explanation: All forces cancel, and motion = zero.
This describes how acceleration changes when the net force on an object increases.
What is “acceleration increases”?
Explanation : By Newton’s 2nd Law, a ∝ F
This type of equilibrium occurs when an object is not moving.
What is static equilibrium?
At rest + balanced forces.
A car traveling at a constant 25 m/s on a straight road is in this state.
What is dynamic equilibrium?
Explanation: Velocity constant → net force = 0.
According to Newton’s First Law, an object in motion will do this if no net force acts on it.
What is “continue moving at constant velocity”?
Explanation - No force → no change in motion.
This type of equilibrium occurs when an object moves with constant velocity.
What is dynamic equilibrium?
Balanced forces + motion.
This mathematical operation is used to find the resultant of two vectors.
What is vector addition?
Explanation: Combine magnitudes and directions.
This quantity determines how difficult it is to change an object’s motion.
What is mass?
Explanation - More mass → more inertia → harder to accelerate.
If an object experiences 12 N left and 12 N right, the object is in this condition.
What is equilibrium?
Explanation: Forces cancel → ΣF=0
Sigma F = 0
ΣF=0.
Two vectors acting at right angles, 6 N east and 8 N north, produce this resultant.
10 N.
Explanation
R = Square root of 6 ^2 + 8^2
R = Square root of 36 + 64
R = 10 N
Changing an object’s direction without changing its speed still counts as this.
What is acceleration?
Explanation: Acceleration includes change in direction, not just speed.