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Cars and trains on curved tracks

Free notes · JEE Main Physics

Formulas

vmax=μgr,tan⁡θ=v2rgv_{max} = \sqrt{\mu g r},\quad \tan\theta = \frac{v^2}{rg}

Flat and banked curve limits

Worked example

A car speeds up while turning on a circular track. Its total acceleration:

  1. Speeding up gives tangential acceleration; turning gives radial acceleration.
  2. Total = vector sum of both.

Answer: Is the vector sum of radial and tangential parts