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

Biot savart law, state biot savart law and hence calculate magnetic inducti...

state biot savart law and hence calculate magnetic induction due to current in a circular coilof wire at a point on its axias

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

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

Describe snells law, Out of ordinary and extra-ordinary waves, which wave o...

Out of ordinary and extra-ordinary waves, which wave obeys Snell's law?

Winding of inductor coils, Formers used for winding coils are ceramic or gl...

Formers used for winding coils are ceramic or glass, because they are stable. Copper wire with silver plating is used up to 50 M Hz. Lit wire produces lower RF resistance than soli

Analog electronics, current gam relashionship betweem alpha and betta

current gam relashionship betweem alpha and betta

Cyclic process of thermodynamic , When a system returns back to its initial...

When a system returns back to its initial state after passing by dissimilar phase, the phenomena is said to be a cyclic process. In this process as ΔU = 0. From first law of the

Electrostatics, A helium nucleus and a neon nucleus are separated by a dist...

A helium nucleus and a neon nucleus are separated by a distance of 3.0 nm. The charge of the helium nucleus is +2e while that of a neon nucleus is + 10e .Find the magnitude of the

What are the differences between resistance and resistivity, What are a few...

What are a few of the differences between resistance and resistivity? Answer: The resistance R of wire depends on both the size and shape of the wire and on the resistivity

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