A) Car is heavier than cycle
B) Car has four wheels while cycle has only two
C) Difference in the speed of the two
D) Cyclist has to counteract the centrifugal force while in the case of car only the passenger is thrown by this force
Correct Answer: C
Solution :
(c, d) As it is clear from the solutions 27 (if road is banked) & 28 (if road is horizontal), that if necessary centripetal force is not provided to moving body, then it starts skidding because centrifugal force is not balanced by centripetal force. It is occurs, when the speed is greater than certain velocity \[{{V}_{\max }}\] for given banking of road & radius of path (in case of banking friction less road \[{{V}_{\max }}=\sqrt{\tan \theta rg})\] & forgiven static friction & radius of path (in case of horizontal friction road \[{{V}_{\max }}=\sqrt{{{\mu }_{s}}rg}).\] If we consider both banking of road & friction also, then max velocity by which the car safely turn without skidding is \[{{V}_{\max }}=\sqrt{\frac{rg(\mu +\tan \theta )}{1-\mu \tan \theta }}.\] Hence both options [c] & [d] are correct.
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