GATE XE (Engineering Sciences) 2007 - Question 75

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Section: Solid Mechanics | Marks: 2

A cylinder of radius $r$ and mass $m$ is placed with no initial velocity on a conveyor belt as shown in the figure. There is a frictional contact between the cylinder and the belt at B. A vertical stopper with a smooth surface prevents the cylinder from rolling away. ($I$ is the moment of inertia of the cylinder; $\alpha$ is the angular acceleration of the cylinder; $\mu$ is the coefficient of friction between the cylinder and the belt and, $g$, is the acceleration due to gravity). The valid free-body diagram of the cylinder just after placing it on the belt (that shows inertial forces also) is

Figure for question 75, GATE XE (Engineering Sciences) 2007

  • A. Diagram A
  • B. Diagram B
  • C. Diagram C
  • D. Diagram D

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