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

Main features of simple harmonic motion, 1. Particle travels in straight li...

1. Particle travels in straight line and the motion is periodic 2. The acceleration of particle is always proportional to the displacement from the equilibrium position and alwa

By which transformer cores are laminated, Transformer cores are laminated w...

Transformer cores are laminated with (A) Low carbon steel. (B) Silicon sheet steel. (C) Nickel Alloy steel. (D) Chromium sheet steel. Ans: Transformer co

Differences between af choke and rf choke, Q Give the differences between A...

Q Give the differences between AF choke and RF choke. Audio - frequency (A.F) chokes Radio frequency (R. F) chokes: or high frequency (H.F) chokes

How is radiation emitted from the body, How is radiation emitted from the b...

How is radiation emitted from the body? The body radiates energy by thermal conduction by the skin to the air, clothes, etc, around the body. A small amount of energy would als

Why x-rays are not used in microscopes, Q. Why X-rays are not used in micro...

Q. Why X-rays are not used in microscopes? 1) The wavelength of X-rays is slighter than that of the visible light. 2) X-rays can't be focussed as visible radiations are foc

Determine the characteristics of the filter, 1. We want to measure a sinuso...

1. We want to measure a sinusoidal signal (frequency 100 Hz) expected to be of strength 1 mV RMS in the presence of noise of peak amplitude 3 mV.   (a) If our A/D converter has

The gauge pressure, The water supply of a building is fed by a main pipe 6....

The water supply of a building is fed by a main pipe 6.00cm in diameter. A 2.00cm diameter tap is located 2.00m above the main pipe. When the tap is turned on it fills a 25.0L cont

Show the ray diagram, Show the ray diagram showing the experimental arrange...

Show the ray diagram showing the experimental arrangement for pure spectrum.

Diamond dosimetry, what is the working principle of diamond dosimeter and w...

what is the working principle of diamond dosimeter and whast are its advantages and disadvantages over other dosimeters?

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