All Problems

Elastic deformations

Problem 1.308

A uniform ring of mass \(m\), with the outside radius \(r_{2}\), is fitted tightly on a shaft of radius \(r_{1}\). The shaft is rotated about its axis with a constant angular acceleration \(\beta\). Find the moment of elastic forces in the ring as a function of the distance \(r\) from the rotation axis.

Reveal Answer
N=1/2βm(r24−r4)/(r22−r12)N=1 / 2 \beta m\left(r_{2}^{4}-r^{4}\right) /\left(r_{2}^{2}-r_{1}^{2}\right)
Prev
Next