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A block of mass 10 k g is in contact against the inner wall of a hollow cylindrical drum of radius 1 m . The coefficient of friction between the block and the inner wall of the cylinder is 0.1 . The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis will be g = 10 m s - 2 ,

Options

  1. A10 r a d s - 1
  2. B10 2 π r a d s - 1
  3. C10 r a d s - 1
  4. D10 π r a d s - 1

Correct answer

C. 10 r a d s - 1

Step-by-step solution

​​​​​​​ N = m ω 2 R f = m g For minimum angular velocity, f = μ N m g = μ · m ω 2 R ω = g μ R = 10 0.1 × 1 = 10 r a d s - 1

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