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One fourth length of a uniform rod is placed on a rough horizontal surface and rod starts rotating about the edge. At an angle θ between the rod and the horizontal, rod begins to slide on the edge. If coefficient of friction between rod and surface is μ , and x tan θ = 4 μ . Find x. (Take g = 10 m/s 2 )

Options

  1. A13
  2. B11
  3. C9
  4. D7

Correct answer

A. 13

Step-by-step solution

One fourth length mg ℓ 4 sin θ = 1 2 I ω 2 α = mg ℓ 4 cos θ I μ N - mg sin θ = m ω 2 ℓ 4 mg cos θ - N = m ℓ 4 α Solving , 1 3 tan θ = 4 μ

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