Three rods each of length L and mass M are placed along X, Y and Z-axes in such

Sail E0 Webinar

Question

Three rods each of length L and mass M are placed along X, Y and Z-axes in such a way that one end of each of the rod is at the origin. The moment of inertia of this system about Z axis is

Options:

A . 2ML23

B . 4ML23

C . 5ML23

D . 7ML23

Answer: Option A
:
A
Moment of inertia of the system about z-axis can be find out by calculating the moment of inertia of individual rod about z-axis

I_{1} = I_{2} = \frac{M L^{2}}{3}

because z-axis is the edge of rod 1 and 2
and

I_{3} = 0

because rod in lying on z-axis

∴ I_{S y s t e m} = I_{1} + I_{2} + I_{3} = \frac{M L^{2}}{3} + \frac{M L^{2}}{0} + 0 = \frac{2 M L^{2}}{3} .

Three Rods Each Of Length L And Mass M Are Placed Along X, Y...

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Two identical rods each of mass 'M' and length 'l' are joined in crossed position as shown in figure. The moment of iner....of inertia of this system about a bisector would be

Question 2. Four spheres, each of mass 'M' and radius 'r' are situated at the four corners of square of side 'R'. The moment of iner....plane of square and passing through its centre will be

Question 3. The moment of inertia of a rod of length 'l' about an axis passing through its centre of mass and perpendicular to rod i....centre of mass and perpendicular to its plane will be

Question 4. Angular displacement θ of a flywheel varies with time as θ=at+bt2+ct3, then angular acceleration of the....θ=at+bt2+ct3, then angular acceleration of the flywheel is given by

Question 5. Let 'l' be the moment of inertia of an uniform square plate about an axis AB that passes through its centre and is pa....inertia of the plate about the axis CD is then equal to

Question 6. The wheel of a car is rotating at the rate of 1200 revolutions per minute. On pressing the accelerator for 10 seconds, i....revolutions per minute. The angular acceleration 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