Question

A particle of mass m moves along a trajectory which is parametrically given by

x = x0 cos ω1t, y = y0 sin ω2t. Find out the force on the particle. Also find out the

potential energy as a function of x and y. Find out the kinetic energy of the particle

and show that the total energy of the particle is conserved​

Answer 1

Explanation:

A particle of mass m is moving along a trajectory given by

x = x0 + a cos ω1t

y = y0 + b sin ω2t

The torque, acting on the particle about the origin , at t = 0 is :

(1) – m (x0 bω22 – y0 aω12) k

(2) Zero

(3) + my0a ω12 k

(4) – m (x0 b + y0 a)ω12 k