Classical Dynamics of Particles and Systems · Problem 2-38

Oscillations — Marion & Thornton

Physics — Mechanics · speed-power-law-displacement

Problem

The speed of a particle of mass

m

varies with the distance

x

v(x) = \alpha x^{-n}

. Assume

v(x=0) = 0

t = 0

. (a) Find the force

F(x)

responsible. (b) Determine

x(t)

and (c)

F(t)