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

How much should be the voltage of an x-ray tube, Q. How much should be the ...

Q. How much should be the voltage of an X-ray tube so that the electrons emitted from the cathode may give an X-ray of wavelength 1 A o after striking the target?  λmin = 124

Electron microscopy application in biology and life sciences, What are the ...

What are the electron microscopy application in biology and life sciences? Biology and life sciences as in electron microscopy application: a. Cryobiology and Cellular tomog

Thermodynamics, The internal energy change when a system goes from state A ...

The internal energy change when a system goes from state A to B is 40 kJ/mole. If the system goes from A to B by a reversible path and returns to state A by an irreversible path wh

Define stress, Stress is measured by the deforming force per unit normal ar...

Stress is measured by the deforming force per unit normal area. Stresses set up in an object due to of the action of forces can be divided into three broad categories (a) Ten

Optics, explain the working of michelson interferometer

explain the working of michelson interferometer

Nicols prism, give full detail of nicols prism about 20 to 30 pages

give full detail of nicols prism about 20 to 30 pages

Laws of motion.., A monkey of mass m climbs a rope slung over a light frict...

A monkey of mass m climbs a rope slung over a light frictionless pulley.The opposite end of the rope is tied to a block of Mass M lying on a smooth horizontal plane.Find the accele

Electricity, two charge(q) each are kept 1m apart, where should third charg...

two charge(q) each are kept 1m apart, where should third charge be placed in order to get third charge -q/4

Find the effective current flowing through the circuit, Q. A capacitor of c...

Q. A capacitor of capacitance 2 μF is in an ac circuit of frequency 1000 Hz. If the rms value of the applied emf is 10 V, find the effective current flowing through the circuit.

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