Question

Expression for the acceleration of a particle in polar coordinates

Answer 1

Answer:

In two dimensional polar rθ coordinates, the force and acceleration vectors are F = Frer + Fθeθ and a = arer + aθeθ. Thus, in component form, we have, Fr = mar = m (r − rθ˙2) Fθ = maθ = m (rθ ¨+2˙rθ˙) . Polar coordinates can be extended to three dimensions in a very straightforward manner.