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

Thomson''s atomic model, THOMSON'S ATOMIC MODEL:- According to Thomson'...

THOMSON'S ATOMIC MODEL:- According to Thomson's atomic model positive charge is distributed uniformly over the entire body of the atom while the electrons are embedded in it. S

What is the centre point of gravity?, An imaginary point in a body of matte...

An imaginary point in a body of matter where, for convenience in certain calculations, the total weight of the body may be thought to be at that point.It is a point where the gravi

With which p-type germanium should be doped, In order to obtain p-type germ...

In order to obtain p-type germanium it should be doped with a (A) Trivalent impurity.      (B) Tetravalent impurity. (C) Pentavalent impurity. (D) Any of the above will d

Is air travel time the similar whether or not, Q. Is air travel time the si...

Q. Is air travel time the similar whether or not the plane is flying with or against the rotation of the Earth? Answer:- All air travel gets the earth's rotation into acco

Nuclear physics, #question.law of successive disintegration and conditions ...

#question.law of successive disintegration and conditions of radioactive equilibrium?

State kirchoffs first law in electricity, Q State Kirchoff's first law in e...

Q State Kirchoff's first law in electricity? Kirchoff's first law (current law) the algebraic total of the currents meeting at any junction in a circuit is zero. This law

Physics, Current time base generator

Current time base generator

Use of monetary and fiscal policy, The government uses monetary and fiscal ...

The government uses monetary and fiscal policy to mitigate the effects of economic fluctuations

Define the term scanning electron microscope, Define the term scanning elec...

Define the term scanning electron microscope. Scanning electron microscope: The scanning electron microscope (SEM) is a form of electron microscope which images the sample s

Define velocity, VELOCITY: The time rate of change of displacement of a...

VELOCITY: The time rate of change of displacement of a body is known as velocity. It is represented by V ?.

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