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

What is the dimentional formula of plank''s constant?, The dimentional for...

The dimentional formula of  plank;s constant ML 2 T -1

Searle''s vibration magnetometer, how to find magnetic moment and the princ...

how to find magnetic moment and the principle behind the magnetometer?

What are the applications of transistors? , A transistor is a semiconducto...

A transistor is a semiconductor device used to amplify and switch electronic signals and electrical power. It is composed of semiconductor material with at least 3 terminals for co

Thermometer, Construction of a thermometer

Construction of a thermometer

Newton''s Second Law, What is the acceleration due to gravity and does the ...

What is the acceleration due to gravity and does the number ever change on earth

How much work was done in firing the projectile, A 2.0-kg projectile is fir...

A 2.0-kg projectile is fired with initial velocity components v0x= 30m/s and v0y= 40m/s from a point on the earth's surface. Neglect any effects due to air resistance. What is the

Estimate the value of energy of dissociation, 1. The probability of dissoci...

1. The probability of dissociation of water into H + and OH - , to a good approximation, can be characterized by the Boltzmann distribution:  W ≈ e -Eα/ KT If, at 27°C, 1.

Newton''s third law of motion, NEWTON'S THIRD LAW OF MOTION: This law c...

NEWTON'S THIRD LAW OF MOTION: This law can be described as "Actions and reactions are equal and opposite".                                  OR To every action there is a

Calculate the magnitude of the magnetic field , A 240-turn solenoid having ...

A 240-turn solenoid having a length of 21 cm and a diameter of 8.8 cm carries a current of 0.44A. Calculate the magnitude of the magnetic field inside the solenoid.

Shear force, The shear force of a cantilever beam of length L carrying a un...

The shear force of a cantilever beam of length L carrying a uniformaly distributed load W Per unit length is how much at fixed end

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