All Problems

The Fundamental Equation of Dynamics

Problem 1.107

A chain of length ll is placed on a smooth spherical surface of radius RR with one of its ends fixed at the top of the sphere. What will be the acceleration ww of each element of the chain when its upper end is released? It is assumed that the length of the chain l<12πRl<\frac{1}{2} \pi R

Reveal Answer
w=[1cos(l/R)]Rg/lw=[1-\cos (l / R)] R g / l