Section: Solid Mechanics | Marks: 2
Linked Answer Q.27 & Q.28: A cylinder of mass, $m$, and radius, $r$, is rolling without slipping down an inclined plane that makes an angle, $\theta$, with the horizontal. The radius of gyration, $k$, of the cylinder is half the radius. (The coefficient of friction is, $\mu$; Acceleration due to gravity is, $g$). The angular acceleration of the cylinder is given by

- A. $4\left(\frac{g\sin\theta}{r}\right)$
- B. $2\left(\frac{g\sin\theta}{r}\right)$
- C. $4\mu\left(\frac{g\sin\theta}{r}\right)$
- D. $\frac{4}{5}\left(\frac{g\sin\theta}{r}\right)$