JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Analyzing +4 | -1

Assertion: The reference frame does not decide the position of centre of mass.
Reason: Centre of mass depends only upon the rest mass of the body.

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Correct option: C

If assertion is true but reason is false

Option C is correct. The assertion is true because the center of mass position is independent of the reference frame. The reason is false because the center of mass depends on the mass distribution, not just the rest mass.

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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)