Student Login

Home›Chapters›Rotational Motion PYQs›Moment of Inertia & Radius of Gyration›Question 128

JEE Main 2021 (26 Feb, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from JEE Main 2021 (26 Feb, Shift 1)

Q128JEE Main 2021 · 26 FEB · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is:

Show answer and solution

Answer: (d)

Two spheres have their centres on the side (axis): $\frac{2}{5}ma^2$ each.
Other two are at distance $b$ : $\frac{2}{5}ma^2 + mb^2$ each.
$I = \frac{8}{5}ma^2 + 2mb^2$ , so the answer is (d).

Report a mistake

More questions on Moment of Inertia & Radius of Gyration

The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the…JEE Main 2021 (26 Aug, Shift 2)
Choose the correct answer from the options given below: List-I List-II (a) MI of the rod…JEE Main 2021 (27 Jul, Shift 1)
Moment of inertia (M. I.) of four bodies, having same mass and radius, are reported as…JEE Main 2021 (24 Feb, Shift 1)
The moment of inertia of a circular disc of radius 2 m and mass 1 kg about an axis XY…MHT CET 2021 (21 Sep, Shift 1)
Two circular loops P and Q are made from a uniform wire. The radii of P and Q are R 1 and…MHT CET 2021 (23 Sep, Shift 2)
Two rings of radius 'R' and 'nR' made of same material have the ratio of moment of…MHT CET 2021 (22 Sep, Shift 2)
A solid sphere of mass M, radius R has moment of inertia ' I ' about its diameter. It is…MHT CET 2021 (20 Sep, Shift 1)
The figure shows two solid discs with radius R and r respectively. If mass per unit area…JEE Main 2021 (27 Jul, Shift 1)