Question

A cyclist speeding at a velocity \(v\) on a level road takes a sharp circular turn of radius R. If \(\mu\) is the static friction between the tyres and road, then the condition for the cyclist not to slip is

• A. \(v^2 \ge \mu R\)
• B. \(v^2 \le \mu Rg\)
• C. \(v \le \mu Rg\)
• D. \(v = \frac{\mu R}{g}\)
• E. \(v^2 \ge \frac{\mu R}{g}\)

Hint:

This formula tells you the maximum safe speed for a turn: \(v_{max} = \sqrt{\mu Rg}\).
Slowing down (lower \(v\)) or increasing the radius (\(R\)) makes the turn safer.

Answer 1

The Correct Option is B