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A horizontal force F is applied at the top of an equilateral triangular block having mass m . The minimum coefficient of friction required to topple the block before translation will be

Options

  1. A2 3
  2. B1 2
  3. C1 3
  4. DNone of these

Correct answer

C. 1 3

Step-by-step solution

I = m a 2 6 + m a 3 2 ⇒ I = m a 2 2 ⇒ F × a 3 2 = m g a 2 ⇒ F = m g 3 F = F m a x ⇒ m g 3 μ m g ⇒ μ = 1 3

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