GATE XE (Engineering Sciences) 2007 - Question 84

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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

Figure for question 84, GATE XE (Engineering Sciences) 2007

  • 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. $\frac{4}{5}\left(\frac{g\sin\theta}{r}\right)$

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