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Banking Of Road - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Banking of Road is considered one the most difficult concept.

  • 5 Questions around this concept.

Concepts Covered - 1

Banking of Road
  1. Without friction

 

From figure

R\cos\theta=mg                                (i)

R\sin\theta=\frac{mv^{2}}{r}                                (ii)

tan\theta=\frac{v^{2}}{rg}

tan\theta=\frac{\omega^{2}r}{g}=\frac{V\omega}{g}=\frac{h}{l}

h = height of outer edge from the ground level

l=width  of the road

r = radius                    

  1.  If friction is also present

\frac{V^{2}}{rg}=\frac{\mu+tan\theta}{1-\mu tan \theta}

Where \theta= angle of banking

\mu= coefficient of friction

V = velocity

  • Maximum speed on a banked frictional road

 V=\sqrt{\frac{rg(\mu+tan\theta)}{1-\mu tan\theta}}

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Banking of Road

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