Forest UCM MiNF
Mechanics in Noninertial Reference Frames
Linearly accelerating reference frames
Let
represent an inertial reference frame and \mathcal S represent an noninertial reference frame with acceleration relative to .Ball thrown straight up
Consider the motion of a ball thrown straight up as viewed from
.
Using a Galilean transformation (not a relativistic Lorentz transformation)
At some instant in time the velocities add like
where
- = velocity of moving frame with respect to at some instant in time
taking derivative with respect to time
where
- inertial force
- in your noninertial frame, the ball appears to have a force causing it to accelerate in the direction.
The inertial force may also be referred to as a fictional force
an example is the "fictional" centrifugal force for rotational acceleration.
The observer in a noninertial reference frame will feel these frictional forces as if they are real but they are really a consequence of your accelerating reference frame
example
- A force pushes you back into your seat when your Jet airplane takes off
- you slam on the brakes and hit your head on the car's dashboard