
Dynamics
Newton's Laws of Motion
Force
- A physical quantity that can change the state of motion of an object
- Simply, a push or a pull
- Net Force: the vector sum of all forces acting on a body. If every force has an equal opposing
force, there is no net force and motion is not changed
- unit is newton (N), symbol F
Historical Development
- Aristotle (350 BC) thought a body's natural state was at rest--force needed for motion
- Galileo (late 1500's) showed no force was needed to continue motion, if friction was absent
- Newton (late 1600's) studied motion, formulated 3 laws of motion
First Law: Law of Inertia
- As long as no net force is acting on it, a body at rest will remain
at rest, a body in motion will continue in straight line motion at a constant speed.
- Inertia: the property of a body that opposes a change in motion
- Mass is the measure of an object's inertia
- Greater the mass, greater the inertia, and harder it is to change motion
- On earth, friction and gravity cause moving objects to stop, but in space, 1st law is easily observed
- Galileo first to show this law by rolling ball down one ramp and up another
Second Law: Law of Acceleration
- A net force on a body will cause acceleration in the direction of the net force; acceleration
will be directly proportional to the net force and inversely proportional to the mass of the body
- a = Fnet/m or Fnet= ma
- If there is no net force, there is no change in motion and 1st law applies
- If force is in direction of motion, speed
will increase; if in opposite direction, it will decrease; if in another direction,
direction will be changed (and maybe speed too)
- 1 newton = force needed to accelerate a mass of 1 kg at 1 m/s2
- Weight is a force that creates the acceleration due to gravity (g): Fw=mg
Third Law: Law of Interaction
- If one body exerts a force on a second body, the second body exerts an equal and opposite force on the first.
- For every action force, there is an equal and opposite reaction force
- Forces always occur in pairs
- Action-reaction forces always act on different objects
- They cannot cancel each others action because they act on different objects
- Often there are equal and opposite forces canceling each other, but these are not action-reaction
pairs; e.g. book lying on table