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roadQ.4. Show that the angle of banking is independent of mass of vehicle.

Answer»

Let a vehicle of mass 'm ' is moving in circular road of radius r and angle of banking is ∅ as shown in figure.

see figure, upward force is balanced by downward force.so, Ncos∅ = mg .....(1)

leftward force is balanced by rightward force .so, Nsin∅ = mv²/r ......(2)

dividing equations (2) by (1), tan∅ = v²/rg∅ = tan^-1 (v²/rg)

here you can see that, angle of banking is independent of mass of vehicle.



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