Question

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/s².

[Given cos30° = 0.87, µ_s = 0.2]

Options

• 12.4

• 7.2

• 6.96

• 10.2

Answer 1

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 10.2 × 10³ kg m/s².

Explanation:

Friction (f) = µN = (0.2)N

Equation of motion in vertical direction

N cos30° - µN cos60° = mg

N = `(800 xx 10)/(cos30^circ - 0.2 xx cos60^circ)`

= `10.4 xx 10^3` kg m/s² = 10.2 × 10³ kg m/s²