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5. An automobile enters a turn whose radius is
R. The road is banked at an angle 0, and the
coefficient of static friction is u.
(a) Find the largest speed for which the car will not skid upwards along the bank.
(b) Find the smallest speed for which the car will not skid downwards along the bank.
sine – u cose
cose + µsino
sine + u cos0
2
[Ans: Vmax
= Rg-
cos0 – µsin0
2
%3D
min
= Rg

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