Classical Dynamics of Particles and Systems · Problem 1-10

Newtonian Mechanics—Single Particle — Marion & Thornton

Physics — Mechanics · kinematics-elliptical-orbit

Problem

A particle moves in a plane elliptical orbit described by the position vector

\mathbf{r} = 2b\sin\omega t\, \mathbf{i} + b\cos\omega t\, \mathbf{j}

((a)) Find

\mathbf{v}

\mathbf{a}

, and the particle speed. ((b)) What is the angle between

\mathbf{v}

and

\mathbf{a}

at time

t = \pi/2\omega