Axis perpendicular to the rod, Physics

Assignment Help:

A non uniform rod AB has a mass M and length 2L the mas per unit length of the rod is mx at a point of the rod distant x from A.find the moment of inertia of this rod about an axis perpendicular to the rod (!)through A (2)through the mid point of AB

Ans) consider a strip of the rod ''dx'' at a length ''x'' from A.mass of the small strip is mx*dx.moment of inertia of the small strip about A IS m*x*dx*x*x.on integrating we get moment of inetia about A as 4*m*L*L*L*L.

ABOUT MID POINT OF AB.consider a strip of length ''dx'' at a distance of x from mid point P.mass of it is m*(L-x)*dx.moment of inertia of half of the rod about P is m*(L-x)*dx*x*x.on integration we get moment of inertia of half of the rod.similarly do for the other half.adding them we get the answer.


Related Discussions:- Axis perpendicular to the rod

LOGIC, : Construct a regular proof to derive the conclusion of the followin...

: Construct a regular proof to derive the conclusion of the following argument: 1. (A & U) ~R 2. ~(~R v ~A) / ~U

What is the minimum velocity an thermosphere, Earth's atmosphere is separat...

Earth's atmosphere is separated into four layers: The troposphere (0-10 km), the stratosphere (10-50 km), the mesosphere (50-80 km), and the thermosphere (80-500 km).

Evaluate the total volume and the density of the sample, An ore sample weig...

An ore sample weighs 17.50 N in air. When the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 11.20 N. Find the total volume and the d

Vectors, how to calculate maximum and minimum resultant forces

how to calculate maximum and minimum resultant forces

Why don''t diode as a battery?, Why because it is not a source as Li-ion ba...

Why because it is not a source as Li-ion battery. If we want to measure the voltage(build in voltage) with in the diode we have to use the external source. We can''t directly measu

How are the colloids classified on the basis of the nature, How are the col...

How are the colloids classified on the basis of the nature of interaction among dispersed phase and dispersion medium? Describe a significant characteristic of each class. Which of

What is angular velocity, The power of change of angular displacement with ...

The power of change of angular displacement with respect to time is known as angular velocity.

Michelson interferometer, How will you determine the difference in the wa...

How will you determine the difference in the wavelengths of 2D lines of sodium light buy Michelson Interferometer

GM tube, what is dead time of GM tube

what is dead time of GM tube?

VIMA, Sir What''s The Meaning/Spelling of Word VIMA In English.

Sir What''s The Meaning/Spelling of Word VIMA In English.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd