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

Explain the ray diagrams for mirrors, Explain the Ray Diagrams for Mirrors?...

Explain the Ray Diagrams for Mirrors? To figure out the position and size of an image reflected by a curved mirror, you can draw a scaled diagram of the mirror as follows: along

What is the magnitude of the acceleration, A toy train moves in a circle of...

A toy train moves in a circle of 8 meters radius with a speed of 4 meters per second.  What is the magnitude of the acceleration of the train? Ans: The magnitude of the acce

How height and pressure affect the boiling point of water, Q. How does the ...

Q. How does the height and air pressure affect the boiling point of water? Answer:- The only factor that finding the boiling point of water at any altitude is the barometr

Explain force diagrams and addition of forces, Explain Force Diagrams and A...

Explain Force Diagrams and Addition of Forces If you have a piano and your friend offers to help move it, would it be more helpful for him to push with 100 Newtons on the

The velocity of a body to be constant during of its motion, The velocity of...

The velocity of a body was noted to be constant during five minutes of its motion. What was acceleration during this interval its? As velocity of body remains same during given

A capacitor is able to serve as which of the following, Questions: A ca...

Questions: A capacitor is able to serve as which of the following? Answer: By classification a capacitor is a charge storage device. In storing charge a capacitor as we

Is cph a quantum energy unchangeable, Is CPH a quantum energy unchangeable?...

Is CPH a quantum energy unchangeable? Answer- Yes, the quantum energy (photon) is made of lots CPH, different between photons depend to the number of CPH that they are made of.

Problems regarding open organ pipes and closed organ pipes, a closed organ...

a closed organ pipe resonates with frequency 6hz and an open organ pipe resonates with frequency 12Hz. if the two organ pipes are joined to form a single organ pipe then it will re

Get expression for intensity of the diffracted beam, Get expression for int...

Get expression for intensity of the diffracted beam by single slit. Explain the position of minima and maxima.

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