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NEET 2014

Exam: NEET
Year: 2014
Subject: Physics
Chapter: Rotational Motion

NEET 2014 · Physics · Rotational Motion

The ratio of the acceleration for a solid sphere (mass ‘m' and...

The ratio of the acceleration for a solid sphere (mass

‘m'

and radius

R )

rolling down an incline of angle

‘\theta'

without slipping and slipping down the incline without rolling is:

Options

A $5: 7$
B $2: 3$
C $2: 5$
D $7: 5$

Correct answer

A. $5: 7$

Step-by-step solution

{a}_{1} = \dfrac{gsin \theta}{1 + \dfrac{I}{M{R}^{2}}}

{a}_{2} = \dfrac{gsin \theta}{1 + \dfrac{\dfrac{2}{5}M{R}^{2}}{M{R}^{2}}} = \dfrac{5}{7}gsin \theta

\dfrac{{a}_{1}}{{a}_{2}} = \dfrac{5}{7}

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