Answer to Question #264148 in Classical Mechanics for Dami

Question

A metallic sphere of 10g is attached to a rubber cord of initial length 100cm and rotated in a horizontal plane uniformly in a rate of 10rev/sec. Find the length of the cord at the speed and the tension along it given that a force of 0.5N stretches the rubber cord by 1cm. Take G=9.81m/s2

Answer 1

$T=m\omega^2r=4\pi^2m\nu^2r=39.5~N,$

$l'=l+l_0\frac{T}{F_0}=179~cm.$