All Problems

The Fundamental Equation of Dynamics

Problem 1.107

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

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