Physics · JEE

The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects Concepts for JEE

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Concept explainer

The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects is a core JEE Main Physics subtopic under Rotational Motion. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects in the JEE syllabus
Memorise key formulas and standard results linked to The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects
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Common trap

Students often rush The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Rotational Motion in JEE Main Physics.

Free sample questions

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Q1PhysicsUnit 5: Rotational Motion

Two point size bodies of masses

20 g

30 g

are fixed at two ends of a light rod of length

1.5 m .

The moment of inertia of these two bodies about an axis perpendicular to the length of rod and passing through their center of mass is:

Q2PhysicsUnit 5: Rotational Motion

Two solid spheres

A

and

B

each of radius

^{\prime} R^{\prime}

are made of materials of densities

\rho_{A}

and

\rho_{B}

respectively. Their moments of inertia about a diameter

\operatorname{are} I_{A}

and

I_{B}

respectively. The value of

\frac{\boldsymbol{I}_{A}}{\boldsymbol{I}_{B}}

is:

Q3PhysicsUnit 5: Rotational Motion

In which of the following cases of rolling body, translatory and rotational kinetic energies are equal

Q4PhysicsUnit 5: Rotational Motion

The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio 1: 8 is:

Q5PhysicsUnit 5: Rotational Motion

The twisting couple per unit twist for a solid cylinder of radius

4.9 \mathrm{cm}

0.1 N / m .

The twisting couple per unit twist for a hollow cylinder of same material with outer and inner radii of

5 \mathrm{cm}

and

4 \mathrm{cm}

respectively, will be

Q6PhysicsUnit 5: Rotational Motion

In a rectangle

A B C D(B C=2 A B)

the moment of inertia along axis will be minimum through:

Q7PhysicsUnit 5: Rotational Motion

The radius of gyration of a disc of mass

100 g

and radius

5 c m

about an axis passing through its centre of gravity and perpendicular to the plane is (in

\mathrm{cm}

Q8PhysicsUnit 5: Rotational Motion

An object is allowed to roll down an inclined plane starting from rest (consider the object to be uniform and having same mass) then object having largest rotational momentum is (if rotated with same angular momentum)

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Frequently asked questions

What concepts in The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects are essential for JEE?

Focus on core ideas across The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects. JEE tests application, not just memorisation.