Question

A right circular cone of semi-vertex angle q is resting on a rough inclined plane. As angle of inclination a of inclined plane is increased gradually, then cone topples before it slides. Coefficient of friction (m) follows the relation given by

• A. m < 4tanq
• B. m = $\frac{2}{3}$tanq.
• C. m > 4tanq
• D. m = $\frac{4}{3}$tanq.

Answer 1

The correct option is C m > 4tanq

Condition of no sliding m > tana Condition of toppling (mg sina) $$\frac{H}{4}$$ > (mg cosa)H tanq tana > 4tanq