Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A curved road is banked for speed\[{{v}_{0}}\]. When a car moves along the road with a constant speed v, the force of friction between the road and the tyres is F. Which of the following statements(s) is (are) correct? (1) lf \[v={{v}_{0}},F=0\] (2) If \[v<{{v}_{0}},F\]acts outwards (3) If\[v>{{v}_{0}},F\]F acts inwards (4) If\[v=0,F=0\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: A
Solution :
When\[v={{v}_{0}},\]banking of road is capable in itself in providing the necessary centripetal force. So, the force of friction F = 0. When v = 0, F is outwards, for the equilibrium of car \[(F=mg\,\sin \theta ).\] When\[v<{{v}_{0}},\]F is again outwards. when\[v>{{v}_{0}},\]banking in itself is not capable for providing the necessary centripetal force. So, the force of friction F acts inwards.
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