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

Calculate the final temperature in the calorimeter, In the following experi...

In the following experiment, a constant-pressure calorimeter containing 100 ml of H 2 O is used. The initial temperature of the calorimeter is 24.6 o C. If 18.6 g of CaCl 2 is a

What is friction?, What is Friction? When we think about friction, ther...

What is Friction? When we think about friction, there is one more place for energy to go - heat. When you push a book across a table, does the energy of the book change? Not if

State ideal gas equation, All the given four Laws may be written in one rel...

All the given four Laws may be written in one relation,  PV  = nRT =m/n RT   This formula is known as deal gas equation. Where m = mass of the gas M = molecular mass of t

Determine displacement current density, In free space electric field intens...

In free space electric field intensity is provided as E= y 20 cos (ωt-50x) volt/m. Determine displacement current density.

Algebra based physics 2.., A rectangular surface (0.14 m x 0.39 m) is orien...

A rectangular surface (0.14 m x 0.39 m) is oriented in a uniform electric field of 440 N/C. What is the maximum possible electric flux through the surface?

What is the means in which light waves travel, What is the means in which l...

What is the means in which light waves travel? Ans: Light is the only type of wave that doesn't require a medium. Confirmation that light will travel through vacuum is the

Experiment of the path of a projectile, Path of a projectile The appara...

Path of a projectile The apparatus below can be used to indicate the independence of the horizontal and vertical velocities of a projectile. The projectile is a metal ball, and

Refractive index of liquids using prism spectrometer, explain the refractiv...

explain the refractive index of the transparent liquid using prism spectrometer?

Effective mass, why effective mass are tensor quantities

why effective mass are tensor quantities

Kohlrauschs law, Kohlrausch's law (F. Kohlrausch): If a salt is dissol...

Kohlrausch's law (F. Kohlrausch): If a salt is dissolved into water, the conductivity of the solution is the total of two values one based on the positive ions & the other dep

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