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

Production of a magnet, Production of a magnet: Magnets can be produc...

Production of a magnet: Magnets can be produced in a variety of ways, generally the method used is determined by the type of magnet required. Using the stroke method

What do you understand by diffraction of waves, 1. What do you understand b...

1. What do you understand by diffraction of waves? Explain why the diffraction of sound is more easily observable than the diffraction of light? 2. The wavelength of two spectra

What is diffraction of light, What is diffraction of light? Illustrate a gr...

What is diffraction of light? Illustrate a graph showing the variation of intensity with angle in a single slit diffraction experiment. Write single feature which distinguishes the

Magnetic induction heating, what project can i make that includes induction...

what project can i make that includes induction heating

1 dimensional motion, 2 cars, 1 and 2 starting from rest are moving with sp...

2 cars, 1 and 2 starting from rest are moving with speeds v1 and v2 m/s(v1>v2). car 2 is ahead of car1 by ''s'' metres when the driver of car 1 sees car 2. what minimum retardation

Exam question 1, #questia 17KG cat is shot out of a hole in the side of a c...

#questia 17KG cat is shot out of a hole in the side of a charged plate when the voltage is suddenly turned up to 5000V. The cat has a charge of 2.377^16c. He lands in a 3kg crate o

Determine the dimension, The control lever is subject to a clockwise moment...

The control lever is subject to a clockwise moment of P26 N.m exerted by its shaft at A and is designed to operate with a force of P27 N.  The resultant of the couple and the force

Draw the logic circuit of this combination of getes, The output of an OR ga...

The output of an OR gate is linked to both the inputs of a NAND gate. Draw the logic circuit of this combination of getes and write its truth table.  Illustrate a plot of potent

Help, #question. A child applies a force F? parallel to the x-axis to a 10....

#question. A child applies a force F? parallel to the x-axis to a 10.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-comp

Radiation and radioactivity, Radiation and Radioactivity Investigator o...

Radiation and Radioactivity Investigator of radioactivity discovered that certain natural elements, primarily the very heavy ones, have unstable nuclei that disintegrate to emi

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