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

Accelaration, what is the formula of accelaration

what is the formula of accelaration

Lawson criterion, Lawson criterion (J.D. Lawson): A situation for the ...

Lawson criterion (J.D. Lawson): A situation for the release of energy from a thermonuclear reactor. Usually it is stated as the minimum value for the product of the density of

Help, #questionyour dog is running around the grass in your back yard. He u...

#questionyour dog is running around the grass in your back yard. He undergoes successive displacements 3.50 m south, 8.20 m northeast, and 15.0 m west. What is the resultant displa

State the demerits of ultrasonic magnetostriction method, Illustrate the de...

Illustrate the demerits of ultrasonic magnetostriction method. Limitations of ultrasonic magnetostriction method: a. This can produce frequencies up to 3 MHz simply. b.

The screw is an inclined plane, The screw is an inclined plane Mark off...

The screw is an inclined plane Mark off and cut out a right angle triangle on a piece of white paper or a piece of wrapping paper. The triangle should be about 30 cm long on it

What is magnetic flux density?, It is defined as the magnetic lines of forc...

It is defined as the magnetic lines of force per unit area of the pole face.                                                    B=φ/A where φ is the magnetic lines of f

What is the intensity of the light, Que: Completely un-polarized light ...

Que: Completely un-polarized light of intensity Io is occurrence on a polarizer whose polarization direction makes an angle of 15.0 degrees amid respect to the vertical. What i

To what height above his starting point does edrise, Adolf and Ed are weari...

Adolf and Ed are wearing harnesses and are hanging from the ceiling by means of ropes attached to them. They are face to face and push off against one another. Adolf has a mass of

Rolling disc, Rolling Disc Imagine a rectangular tray lying flat on a ...

Rolling Disc Imagine a rectangular tray lying flat on a horizontal table. Suppose in which the tray has vertical sides, and this a plate (or disc) lies flat on the table and r

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