Circular MotionMedium
Question
A car of mass m attempts to go on the circular road of radius r, which banked for a speed of 36 km/hr. The friction coefficient between the tyre and the road is negligible.
Options
A.The car cannot make a turn without skidding.
B.If the car turns at a speed less than 36 km/hr, it will slip down
C.If the car turns at the constant speed of 36 km/hr, the force by the road on the car is equal to 
D.If the car turns at the correct speed of 36 km/hr, the force by the road on the car is greater than mg as well as greater than
Solution
When speed of car is 36 km/hr, car can make a turn without skidding. If speed is less than 36 km/hr than tendency of slipping is downward so it will slip down. If speed is greater than 36 km/hr than tendency of slipping upward so it will slip up.
If the car′s turn at correct speed 36 km/hr
N cos θ = mg
N sin θ =
N =
Ans.
If the car′s turn at correct speed 36 km/hr
N cos θ = mg
N sin θ =
N =
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