1. Tardigrade
  2. Question
  3. Physics
  4. A uniform semicircular disc of mass ' M ' and radius ' R ' hinged at point O shown in figure is released from rest from a vertical position as shown. If the initial magnitude of angular acceleration of the disc is (x g/3 π R), then the value of x is (Center of mass is at a distance (4 R/3 π) from center of disc)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A uniform semicircular disc of mass ' $M$ ' and radius ' $R$ ' hinged at point $O$ shown in figure is released from rest from a vertical position as shown. If the initial magnitude of angular acceleration of the disc is $\frac{x g}{3 \pi R}$, then the value of $x$ is (Center of mass is at a distance $\frac{4 R}{3 \pi}$ from center of disc)Physics Question Image

System of Particles and Rotational Motion

Solution:

$\tau=I \alpha ; \tau=m g\left(\frac{4 R}{3 \pi}\right) ; I=\frac{M R^{2}}{2},$
$ \alpha=\frac{8 g}{3 \pi R}$
$ \Rightarrow x=8$