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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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For the same total mass, which of the following will have the largest moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the body

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Correct option: D

Four rods forming a square of side

2 R

Option D (Four rods forming a square of side 2R) is correct because for the same total mass, distributing the mass farthest from the axis of rotation maximizes the moment of inertia.

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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}

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

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\mathrm{CM}

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

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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

1.0 \mathrm{~g}

is rotating in a circle of diameter

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. 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)