JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Analyzing +4 | -1

Assertion: There is a line passing through the tangent of a disc; the disc's moment of inertia about that line is

\frac{7}{4} M R^2

Reason: If the disc's moment of inertia about its diameter is known then to know the moment of inertia about the tangent line, we need to use the parallel axis theorem.

View answer and explanation

Correct option: D

Assertion is false, but Reason is true

Assertion is false, but Reason is true. The moment of inertia of a disc about a tangent is

\frac{5}{4}MR^2

, not

\frac{7}{4}MR^2

. The parallel axis theorem is indeed needed.

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)