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

Plot the frequency-domain response, A filter of the form G ( z )   =  ...

A filter of the form G ( z )   =  z 2 /( z - p )( z - p ) with p = re 4ω n     will be studied. With r = 0 . 95 and ω n   = Π/10 , plot the time response to

Series combination of the three resistors, Regard as three resistors having...

Regard as three resistors having three unique values of resistance. Presume the resistors are connected in series with each other. Additional suppose that the series combination of

Calculate the magnitude of the axial force, The symmetrical scissors truss ...

The symmetrical scissors truss shown below is supported at point A and D. The support at D is a rocker bearing and does not produce a horizontal reaction.  A, B, C, D, E & F are pi

Galvanometer, With the help of neat & labelled diagram. Explain the princip...

With the help of neat & labelled diagram. Explain the principle & working of a moving coil galvanometer. What is importance of radial magnetic field.

Define the merits of ultrasonic magnetostriction method, Define the merits ...

Define the merits of ultrasonic magnetostriction method. Merits of ultrasonic magnetostriction method: a.     Magnetostrictive materials are simply accessible and inexpensiv

PHYSICS PRACTICAL., I WANT SHORT THEORY OF DEFLECTION MANGNETOMETER TAN A& ...

I WANT SHORT THEORY OF DEFLECTION MANGNETOMETER TAN A& TAN B

Vernier calliper , measurement and calculation with formula

measurement and calculation with formula

Electricity, help by post offoce box explan rasistance of a wire

help by post offoce box explan rasistance of a wire

How does the elevation affect the boiling point of water, How does the elev...

How does the elevation and air pressure affect the boiling point of water? The only factor that explains the boiling point of water at any altitude is the barometric pressure (

What is asteroids, What is an asteroid, comet, dwarf planet with respect to...

What is an asteroid, comet, dwarf planet with respect to their mass, moment of inertia and dimension? Ans) Dwarf Planet is lighter,smaller than a planet ( Pluto ).They usually a

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