Question:
Out of the given bodies (of same mass) for which the moment of inertia will be maximum about the axis passing through its centre of gravity and perpendicular to its plane?
Out of the given bodies (of same mass) for which the moment of inertia will be maximum about the axis passing through its centre of gravity and perpendicular to its plane?
Updated On: Jul 2, 2022
- Disc of radius a
- Ring of radius a
- Square lamina of side 2a
- Pour rods of length 2a making a square
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
For disc, $I=\frac{1}{2} m a^{2}$
For ring, $I=m a^{2}$
For square of side $2 a$
$=\frac{M}{12}\left[(2 a)^{2}+(2 a)^{2}\right]=\frac{2}{3} M a^{2}$
For square of rod of length $2 a$
$I=4\left[M \frac{(2 a)^{2}}{12}+M a^{2}\right]=\frac{16}{3} M a^{2}$
Hence, moment of inertia is maximum for square of four rods.
Was this answer helpful?
0
0
Top Questions on System of Particles & Rotational Motion
- A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^2 = 1 + t^2$.
Its acceleration at any time $t$ is $x^{-n}$ where $n =$ ____.- JEE Main - 2024
- Physics
- System of Particles & Rotational Motion
- A particle is moving in circular path of radius r speed v such that speed is proportional to radius as \(V∝ r^{\frac{3}{2}}\). Then how does time period of revolution depends on r i.e Trn then \(n\) is.
- JEE Main - 2024
- Physics
- System of Particles & Rotational Motion
- The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is:
- NEET (UG) - 2023
- Physics
- System of Particles & Rotational Motion
- Two identical solid spheres,each of radius 10cm,are kept in contact. If the mass of inertia of this system about the tangent passing through the point of contact is 0. Then mass of each sphere is:
- KEAM - 2023
- Physics
- System of Particles & Rotational Motion
- A uniform thin rod of mass 3kg has a length of 1m. If a point mass of 1kg is attached to it at a distance of 40cm from its center,the center of mass shifts by a distance of:
- KEAM - 2023
- Physics
- System of Particles & Rotational Motion
View More Questions
Questions Asked in Rajasthan PMT exam
- 300 cal of heat is supplied to raise the temperature of 50 g of air from $ 20{}^\circ C $ to $ 30{}^\circ C $ without any change in its volume. Change in internal energy per gram of air is
- Rajasthan PMT - 2011
- internal energy
- The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is
- Rajasthan PMT - 2011
- mechanical properties of fluid
- Block A of mass 4 kg and block B of mass 6 kg are resting on a horizontal surface as shown in the figure. There is no friction between the block B and the horizontal surface. The coefficient of friction between the blocks is 0.2. If the value of $ g=10\,m/{{s}^{2}}, $ the maximum horizontal force F that can be applied on block B without any relative motion between A and B is
- The excess pressure inside a soap bubble A is twice that in another soap bubble B. The ratio of volumes of A and B is
- Rajasthan PMT - 2011
- Surface tension
- The unit of surface tension is
- Rajasthan PMT - 2011
- Surface tension
View More Questions
Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.