Multiple choice

Statement I: A cyclist is moving on an unbanked road with a speed of 7 km/h and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2) Statement II: If the road is banked at an angle of 45°, cyclist can cross the curve of 2 m radius with the speed of 18.5 km/h without slipping. In the light of the above statements, choose the correct answer from the options given below.

  1. Statement I is incorrect and statement II is correct.

  2. Statement I is correct and statement II is incorrect.

  3. Both statement I and statement II are incorrect.

  4. Both statement I and statement II are correct.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For Statement I, the maximum speed without slipping on an unbanked road is sqrt(mu * g * r) = sqrt(0.2 * 9.8 * 2) = 1.98 m/s, which is greater than the cyclist's speed of 1.94 m/s, so they will not slip. For Statement II, the safe speed range on a banked road with friction includes 18.5 km/h, meaning both statements are correct.

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