JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Analyzing +4 | -1

A uniform thin rod of mass

M

and length

L

is standing vertically along the

Y

-axis on a smooth horizontal surface with its lower end at origin

(0,0)

. A slight disturbance at

t=0

causes the lower end to slip on smooth surface along the positive X-axis and the rod starts falling. The path followed by the centre of mass of the rod during its fall is a/an.

View answer and explanation

Correct option: D

Circle

Option D (Circle) is correct because the center of mass moves in a circular arc as the rod falls, maintaining a constant distance from the origin.

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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)