Question

Find minimum height of the obstacle so that the sphere can stay in equilibrium.

• A. $\frac{R}{1+cos\theta }$
• B. $\frac{R}{1+sin\theta }$
• C. $R(1-sin\theta )$
• D. $R(1-cos\theta )$

Answer 1

The correct option is D $R(1-cos\theta )$

Considering cosine angle, we get,

$\cos \theta =\frac{R-h}{R}$

$h=R-R\cos \theta$

$h=R(1-\cos \theta {)}^n$

$\Rightarrow h=R(1-\cos \theta )$