JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Application +4 | -1

A solid cylinder of mass

M

and radius

R

rolls without slipping down an inclined plane of length

L

and height

h

. What is the speed of its centre of mass when the cylinder reaches its bottom

View answer and explanation

Correct option: B

\sqrt {\frac{4}{3}gh}

Option B (

\sqrt {\frac{4}{3}gh}

) is correct because it is the final speed calculated using conservation of energy for rolling without slipping.

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\mathrm{AB}

\mathrm{L}

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x

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\mathrm{CM}

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\mathrm{A}

\mathrm{b}

1.0 \mathrm{~g}

8 \mathrm{~cm}

\omega = {t^4} + 2{t^3}

t = 1\,sec

\left( {rad\,{s^{ - 2}}} \right)