Equilibrium of a Solid Cylinder
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Questions and Answers

Which of the following expressions represents the maximum value of acceleration for which the cylinder remains in equilibrium on the rough plank?

  • gd
  • 2l
  • gl (correct)
  • 2d
  • What is the time dependence of the angle (\theta) for a solid body rotating about a fixed axis, with angular velocity given by (\omega = k\theta - l), where (k) is a positive constant and at (t = 0), (\theta = 0)?

  • \(\theta = \frac{29}{7}, \frac{61}{7}\)
  • \(\theta = 2kt\)
  • \(\theta = kt\) (correct)
  • \(\theta = 4\)
  • What is the value of (x) if the moment of inertia of a disc about an axis parallel to its diameter and at a distance (x) from the center is equal to the moment of inertia about its central axis?

  • \(\frac{R}{2}\) (correct)
  • \(2R\)
  • \(3R\)
  • \(R\)
  • What is the ratio of the radii of gyration of a spherical shell and a solid sphere with the same mass and radius, about a tangential axis?

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    Which of the following expressions represents the maximum value of acceleration for which the cylinder remains in equilibrium on the rough plank?

    <p>gl</p> Signup and view all the answers

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