Question

A car of mass 500kg is moving in a circular road of radius 35 / √3 . Angle of the banking of road is 30. Coefficient of friction between road and tires is µ = \(\frac{1}{2\sqrt{3}}\). 

Match the following:

Column I	Column II
(A) Maximum speed (in m/s) of car for safe turning	(p) 5\(\sqrt{2}\)
(B) Minimum speed (in m/s) of car for safe turning	(q) 12.50
(C) Speed (in m/s) at which friction force between tires and road is zero	(r) \(\sqrt{210}\)
(D) Friction force (in 102 Newton) between tires and road if speed is \(\sqrt{\frac{350}{6}}\) m/s	(s) \(\sqrt{\frac{350}{6}}\)

Answer 1

A → r; B → p; C → s; D → q

Now depending on condition, friction can be upwards or downwards.

For maximum speed, friction is downwards.

Answer 2

A → r; 

B → p; 

C → s; 

D → q