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

Earth and moon two are act as a two magnets., Earth and Moon two are act as...

Earth and Moon two are act as a two magnets. and when they rotating the flux changes . then the current produces or not . if not what is the reason? Ans) E.M.F is induced only whe

radioactive substance, A certain radioactive substance has a half-life of ...

A certain radioactive substance has a half-life of 40 minutes. How much of an original 100 grams substance will remain after 2 hours? solution) m= m0/2t/T m=100 gms.. t=2 hours

Common lead acid battery faults, common lead acid battery faults: Caref...

common lead acid battery faults: Careful treatment of lead acid batteries prevents damage and early failure, however, some common faults associated with lead acid batteries are

Explain the focal length of the convex lens, Convex lens can be used as a m...

Convex lens can be used as a magnifying glass. When an object that is 15.0 cm from the lens has an image that is exactly 55 times the size of the object, what is the focal leng

Explain galvanometer, Galvanometer: 1. An electromechanical instrument,...

Galvanometer: 1. An electromechanical instrument, which is used to detect the presence of current in a circuit is known as galvanometer. 2. The major parts of a galvanomete

Kinematics, An aereplane has velocity 500m/s with respect to air. Wind blow...

An aereplane has velocity 500m/s with respect to air. Wind blows with velocity 20m/s along north. Then in what direction pilot should be heading so as to go along North-east direct

Corkscrew rule, Corkscrew Rule: Knowing the direction of the current, i...

Corkscrew Rule: Knowing the direction of the current, it is possible to determine the direction of the magnetic field using Maxwell's Corkscrew rule, usually abbreviated to the

Electronics, if you want to amplify input signal of +-20mV amplitude and a ...

if you want to amplify input signal of +-20mV amplitude and a 100 MHz frequency,which parameters of OP-amp play a significant role? what should be the values of the parameters?just

Electronics, is voltage source have infinite internal resistance

is voltage source have infinite internal resistance

What is the force required to accelerate a mass, What is the force required...

What is the force required to accelerate a mass of one kilogram one meter per second per second? Basically, you have defined the Newton. Force is the vector product of mass

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