http://freenodephysics.googlepages.com/problemsoftheweek

Febuary 21st,2007

A small block,of mass m,is placed on top of a frictionless Sphere of Radius R,which is fixed to the ground.The block is given a small nudge so it is set into motion.How far away from the point where the sphere touches the ground does the block land?

DSolve[{s''[t] == g Sin[s[t]/r], 
        s[0] == 0, s'[0] == 0.001 r}, s, t]