Axis perpendicular to the rod, Physics

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.

Posted Date: 3/25/2013 1:20:58 AM | Location : United States







Related Discussions:- Axis perpendicular to the rod, Assignment Help, Ask Question on Axis perpendicular to the rod, Get Answer, Expert's Help, Axis perpendicular to the rod Discussions

Write discussion on Axis perpendicular to the rod
Your posts are moderated
Related Questions

a beam of electron is incident on barrier 6eV high and 0.2 nm wide. find the energy in eV these should have if 1% of them are to get through the barrier.

What is Electron Holography? Electron holography is an application of holography procedures to electron waves quite than light waves. Electron holography was invented through D

lsolectric  precipitation: At isoelectric pH  you  already know,  a protein does not  have  any  net  charge. So, they easily aggregate and precipitate without denaturation becaus

We all know that some astronaut had landed in the moon to check out how''s going on the moon. But why only a few astronaut? People created the Apollo and they made it. They sent so

Casting : Fe-C alloys with more than 2% carbon are known as cast irons. On crossing the liquidus, proeutectic crystallizes first. On passing by the eutectic temperatures, the liqui

tau-theta paradox (1950s): While two distinct types of kaons, tau & theta (today tau is a completely different particle) decay, tau decays in three particles, whereas the thet

Derive the equation of uniformly acceleration motion by analytical method.

Why dc ammeter cant read ac current