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

Inertial frame of reference, Inertial Frame of Reference : If in a given sy...

Inertial Frame of Reference : If in a given system a free object does not experience any acceleration or force, the system is called the inertial frame. Any reference frame that mo

Design an automotive cruise control system, The topic for the project is to...

The topic for the project is to design an Automotive Cruise Control System although you may choose a different title for your report. The aim is to research cruise control systems

Spontaneity of a chemical reaction, How could you predict the spontaneity o...

How could you predict the spontaneity of a chemical reaction, given changes in entropy and enthalpy?

Define acceleration, ACCELERATION: The time rate of change of velocity ...

ACCELERATION: The time rate of change of velocity of a body is known as acceleration.

Buoyancy, Why do dead bodies float in water ?

Why do dead bodies float in water ?

Calculate the pressure and temperature, A box is divided into two parts of ...

A box is divided into two parts of equal volume via a partition. The box is thermally insulated from the surroundings.  Consider that compartment 1 contains an ideal gas A at P 0 ,

What is a frame of reference, Q. What is a frame of reference? A syste...

Q. What is a frame of reference? A system of co-ordinate axes which describe the position of a particle in two or three dimensional space is called a frame of reference.

Explain radar, Radar: The term radar is used for radio detection and ra...

Radar: The term radar is used for radio detection and ranging. Radar having of three types of devices, a transmitter, a receiver and indicator devices. It has very high frequen

Who discovered proton, Who discovered Proton? In 1886 Eugen Goldstein d...

Who discovered Proton? In 1886 Eugen Goldstein discovered canal rays (also called as anode rays) and showed that they were positively charged particles (ions) formed from gases

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

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