JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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The times taken by a solid sphere, a solid cylinder a thin-walled hollow sphere and a thin-walled hollow cylinder all having the same mass to roll down an inclined plane when released at the top are denoted as

t_{s s}, t_{s c}, t_{h s}

, and

{t}_{{hc}}

respectively. The following is true with regard to the roll down times.

View answer and explanation

Correct option: B

t_{s c} > t_{h c} > t_{h s} > t_{s s}

Option B (

t_{sc} > t_{hc} > t_{hs} > t_{ss}

) is correct because the time taken to roll down an inclined plane depends on the radius of gyration, with higher values resulting in longer times.

More Questions from SYSTEM OF PARTICLES

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It is easier for a swimmer jumping into water from a height to describe a loop in the air by A uniform thin rod

\mathrm{AB}

of length

\mathrm{L}

has linear mass density

\mu(x)=a+\frac{b x}{L}

, where

x

is measured from

\mathrm{A}

. If the

\mathrm{CM}

of the rod lies at a distance of

\left(\frac{7}{12}\right) \mathrm{L}

from

\mathrm{A}

, then a and

\mathrm{b}

1.0 \mathrm{~g}

is rotating in a circle of diameter

8 \mathrm{~cm}

. Its moment of inertia will be The angular velocity of a particle is given by

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

then its angular acceleration of the particle at

t = 1\,sec

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