A solid disc of radius 'a' and mass 'm' rolls down without slippi… - Vidyadip

MCQ

A solid disc of radius $'a'$ and mass $'m'$ rolls down without slipping on an inclined plane making an angle $\theta$ with the horizontal. The acceleration of the disc will be $\frac{2}{ b } g \sin \theta$ where $b$ is $........$. (Round off to the Nearest Integer)

$( g =$ acceleration due to gravity)

$(\theta=$ angle as shown in figure $)$

A
$2$
B
$5$
✓
$3$
D
$6$

✓

Answer

Correct option: C.

$3$

c
$a=\frac{g \sin \theta}{1+\frac{K^2}{R^{2}}}=\frac{g \sin \theta}{1+\frac{1}{2}}=\frac{2}{3} g \sin \theta$

$b=3$

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