The normal reaction N for a vehicle of 800   kg mass, negotiating a turn on a 30 ° banked road at…

The normal reaction N for a vehicle of 800 kg mass, negotiating a turn on a 30° banked road at maximum possible speed without skidding is ____ ×103 kg m s-2.
  1. 10.2
  2. 7.2
  3. 12.4
  4. 6.96

Solution

At vmax, f will be limiting in nature.

Balancing force in vertical direction, Ncos30°-mg-μNcos60°=0
Ncos30°-μcos60°=mg
 N=800×10(0.87-0.1)10.2×103 kg m s-2
Hence, option 1.

Asked in: JEE Main 2021 (20 Jul Shift 1)

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