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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRotational Mechanics

A uniform ladder of length 10.0 m and mass 16.0 kg rests against a frictionless vertical wall, making an angle of 37^ with it. The ground is rough. A mechanic stands on the ladder at a point 8.00 m from the lower end. If the coefficient of friction between the ground and ladder is 0.540 , find the maximum weight of the mechanic for which the ladder remains in equilibrium.

Options

  1. A44 kg
  2. B35 kg
  3. C50 kg
  4. D60 kg

Correct answer

A. 44 kg

Step-by-step solution

Take moments about the ground contact and use the limiting friction condition f = N . With the wall frictionless and the mechanic at 8.00 m , equilibrium gives a maximum mechanic mass of 44 kg .

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