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 the weight of a body, Determine the weight of a body. Princip...

Determine the weight of a body. Principle: When a spring is fixed at one end and a force is applied to the other end the stretching of the spring is proportional to the applie

Ac input resistance in common base configuration, AC Input Resistance in Co...

AC Input Resistance in Common Base Configuration Ratio of change in emitter base  voltage  (?V EB )  to  the  resulting  change  in  emitter  current  (?I E )  is  called in

Explain the natural frequencies and resonance, Explain the Natural Frequenc...

Explain the Natural Frequencies and Resonance Standing waves occur when the waves, like those in a vibrating piece of rope, are repeating so that there are places on the rope t

What is the ratio of doped carriers to thermal carriers, At 200.0 K, german...

At 200.0 K, germanium has 1.16 x 10 10 thermally liberated charge carriers/cm 3 . If it is doped with 1 As atom to 525,000 Ge atoms, what is the ratio of doped carriers to the

Define angular momentum, The turning movement of a particle about the axis ...

The turning movement of a particle about the axis of rotation is called the angular momentum of the particle and is measured as the product of the linear momentum and the perpendic

Third harmonic- standing waves on a string, Third Harmonic- Standing Waves ...

Third Harmonic- Standing Waves on a String There are a variety of patterns that could be generates through vibrations inside slinky, a string, or rope. Each pattern corresponds

Explain the types of hologen and gas discharge, How many types of hologen a...

How many types of hologen and gas discharge are there? This will depend upon the use of the system. Gas discharge lamps, particularly those with a very small plasma area are pr

What are solid core fibers, What are solid core fibers? This optics is ...

What are solid core fibers? This optics is cylinders made of diverse polymers and encased upon a transparent tube or sheath. As a standard are manufactured in various gauges or

Kevin, Need a word that descripes relationship of parabolic function? Than...

Need a word that descripes relationship of parabolic function? Thanks!

What is the principle of millikans oil drop method, Q. What is the principl...

Q. What is the principle of Millikan's oil drop method? Principle This method is foundation on the study of the motion of uncharged oil drop under free fall due to grav

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