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What is the formula for the highest permissible speed of a vehicle on a curved, inclined road?

  1. v_max^2 / (Rg) = (μ_s + tan θ) / (1 - μ_s tan θ)
  2. v_max^2 / (Rg) = (μ_s - tan θ) / (1 + μ_s tan θ)
  3. v_max^2 / (Rg) = (tan θ - μ_s) / (1 + μ_s tan θ)
  4. v_max^2 / (Rg) = (tan θ + μ_s) / (1 - μ_s tan θ)

Correct answer: v_max^2 / (Rg) = (tan θ + μ_s) / (1 - μ_s tan θ)

Solution

The maximum safe velocity on a banked road is derived by balancing the forces acting on the car, including friction, normal force, and centripetal force. The correct formula is given by option D.

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