Im not sure of how to take the derivative of that arctan expression. Is there a way to simplify it? I've tried finding methods but I'm having trouble.
The primed notation is a time derivative, sorry.
Homework Statement
A particle of mass m is subjected to an isotropic, two dimensional, harmonic central force, F=-kr.
(r=(x,y)). At t=0 the particle is at r=A and has velocity V yhat.
Find r' r'' θ' θ'' in 2D spherical polar coordinates.
Homework Equations
Fx=-kx
Fy=-ky
The Attempt at a...
Homework Statement
Two particles are in a perfectly inelastic collision with no external force acting on them. Particle 1 has m1 and v1>0. Particle 2 has mass m2 and v2<0. Find the loss in kinetic energy after the collision. Express your answer in
reduced mass as well as relative velocity...