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A rough platform OA rotates in a vertical plane about a horizontal axis through the point O with a constant counterclockwise velocity ω = 3   rad   s - 1 . As it passes through the position θ = 0 , a small mass m is placed upon it at a radial distance. If the mass is observed to slip at θ = 37 ° , then the coefficient of friction between the mass & the member is

Options

  1. A3 16
  2. B9 16
  3. C4 9
  4. D5 9

Correct answer

A. 3 16

Step-by-step solution

As the mass is at the verge of slipping ∴ m g sin ⁡ 37 - μ m g cos ⁡ 37 = m ω 2 r 6 - 8 μ = 4.5 ∴ μ = 3 16

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