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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A flywheel rotating about an axis experiences an angular retardation proportional to the angle through which it rotates. If itsrotational kinetic energy gets reduced by

\Delta {E}

while it rotates through an angle

\theta

then

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Correct option: A

\Delta {E} \propto \theta^2

Option A (

\Delta {E} \propto \theta^2

) is correct because the angular retardation is proportional to the angle, leading to a change in kinetic energy proportional to the square of the angle.

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\mathrm{CM}

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are related as : A solid metal ring and a disc of same radius and mass are rotating about their diameters with same angular frequency. The ratio of their respective rotational kinetic energy values is When a torque acting upon a system is zero, then which of the following will be constant A point particle of mass

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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)