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Obtain an expression for maximum safe speed of a vehicle on a banked road in circular motion.

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Detailed Answer :

 force of friction

reaction force which will provide centripetal force.

Resolve it into two components – Ncos θ and Nsin θ

Also resolve friction force f into fsin θ and fcos θ.

(centripetal force) mv2/R = fcos θ + Nsin θ (1) (acting towards centre)

Ncos θ = mg + fsin θ or mg = Ncos θ – fsin θ

Dividing eq. (1) by (2)

For maximum speed

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