Question

A very large (uniform disk) is connected to a very stiff spring as shown in figure. Spring is attached a distance $d$ below the axle of the disc. System is in equilibrium in configuration shown. If disc is rotated through a small angle ${\theta }_0=3^{\circ }$ find the maximum kinetic energy of disc in joule.
$($ Given $K=900N/m;R=3m;d=2m,{\pi }^2=10)$

Answer 1

Answer: 5

$(kd\theta )d=\left(\frac{M{R}^2}{2}\right)\alpha$
$\alpha =-\left(\frac{2k{d}^2}{M{R}^2}\right)\theta ;K\cdot E_{\cdot \max }=\frac{k{d}^2{\theta }_0^2}{2}$