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A car is negotiating a curved road of radius . The road is banked at an angle . The coefficient of friction between the tyres of the car and the road is . The maximum safe velocity on this road is
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Correct option is D
For vertical equilibrium on the road, Ncosθ=mg+fsinθmg=Ncosθ-fsinθ……….(1)Centripetal force for safe turning, Nsinθ+fcosθ=mv2R…….(2)From eqns. (i) and (ii), we get v2Rg=Nsinθ+fcosθNcosθ-fsinθ⇒vmax2Rg=Nsinθ+μsNcosθNcosθ-μsNsinθvmax=Rgμs+tanθ1-μstanθTalk to our academic expert!
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For traffic moving at 60 km/ hour along a circular track of radius 0⋅1 km, the correct angle of banking is
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