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

Determine number of neutrons in nucleus of the atom, An atom has 26 electro...

An atom has 26 electrons and its atomic weight is 56. The number of neutrons in the nucleus of the atom will be : (1) 26      (2) 30        (3) 36                     (

What do you mean by mobility, Q Define: mobility. Give its unit. The mo...

Q Define: mobility. Give its unit. The mobility is defined as the drift velocity obtains per unit electric field. The unit of a mobility m 2 V 1s 1.

Define critical temperature, Q. Define critical temperature. The tempe...

Q. Define critical temperature. The temperature at that electrical resistivity of the material suddenly drops to zero and the material changes from normal conductor to a super

Waves, some details about wave

some details about wave

Tesla, Tesla; T (after N. Tesla, 1870-1943): The derived SI unit of ma...

Tesla; T (after N. Tesla, 1870-1943): The derived SI unit of magnetic flux density, described the magnetic flux density of magnetic flux of 1 Wb by an area of 1 m 2 ; thus it

Coupling factor, Coupling factor: If all the flux of a primary coil lin...

Coupling factor: If all the flux of a primary coil links with all the turns of a secondary then 100% coupling exists. Sometimes it is more convenient to use a coupling factor

What is polymorphism, What is Polymorphism Polymorphism in materials sc...

What is Polymorphism Polymorphism in materials science is the skill of a solid material to exist in more than one form or crystal structure. Polymorphism can potentially be fou

Expermient of a sensitive beam balance, A sensitive beam balance The ma...

A sensitive beam balance The materials required for this balance contain a clothes peg, a knitting needle about 12 in. long, two pins or needles and a support like as a milk bo

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