What is the minimum coefficient of friction for a solid sphere to… - Vidyadip

MCQ

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination $\theta$ ?

✓
$\frac{2}{7} \tan \theta$
B
$\frac{1}{3} g \tan \theta$
C
$\frac{1}{2} \tan \theta$
D
$\frac{2}{5} \tan \theta$

✓

Answer

Correct option: A.

$\frac{2}{7} \tan \theta$

a
(a)

$\mu=\frac{I \tan \theta}{I+m r^2}=\frac{\frac{2}{5} m r^2 \tan \theta}{\frac{2}{5} m r^2+m r^2}$

$=\frac{2 \tan \theta}{7}$

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