Three rings each of mass M and radius R are arranged as shown in the figure. The

Question

Three rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY' will be

Options:

A . 3MR2

B . 32MR2

C . 5MR2

D . 72MR2

Answer: Option D
:
D
M.I of system about YY'

I = I_{1} + I_{2} + I_{3}

here

I_{1}

= moment of inertia of ring about diameter,

I_{2} = I_{3} = M . I .

of inertia of ring about a tangent in a plane

∴

I = \frac{1}{2} m R^{2} + \frac{3}{2} m R^{2} + \frac{3}{2} m R^{2} = \frac{7}{2} m R^{2}

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. The the system in the figure is in equilibrium. The value of PR in terms of RQ is equal to ....

Question 2. The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and pe....moments of inertia of the plates about axes 1,2,3,4 respectively.

Question 3. Two circular discs A and B are of equal masses and thickness but made of metals with densities dA and dB(dA>....normal to the circular faces be IA and IB, then

Question 4. A force of (2ˆi−4ˆj+2ˆk)N acts at a point (3ˆi+2ˆj−4ˆk) metre fro....point (3ˆi+2ˆj−4ˆk) metre from the origin. The magnitude of torque is

Question 5. Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of in....centre of the disc and perpendicular to its plane is

Question 6. One quarter sector is cut from a uniform disc of radius 'R'. This sector has mass 'M'. It is made to rotate about a l....disc. Its moment of inertia about the axis of rotation is

Question 7. If ⃗F be a force acting on a particle having the position vector ⃗r and ⃗τ be.... and ⃗τ be the torque of this force about the origin, then

Question 8. Figure below shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the comm....by A and B in the same time interval, then

Question 9. A wheel initially at rest, is now rotated with a uniform angular acceleration. The wheel rotates through an angle θ....angle θ2 in the next one second. The ratio θ2θ1 is

Question 10. A wheel completes 2000 rotations in covering a distance of 9.5 km. The diameter of the wheel is....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0