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

Identify the key terms in wave function, Identify the key terms in the wave...

Identify the key terms in the wave function provided by

Define optic axis of a crystal, Q. Define: optic axis of a crystal. In...

Q. Define: optic axis of a crystal. In a double refracting crystal there is a particular direction in which both the rays travel with same velocity. This direction is called a

What is the maximum height of the ball, A ball leaves a girl's hand with an...

A ball leaves a girl's hand with an upward velocity of 6 meters per second.  What is the maximum height of the ball above the girl's hand? Ans: A ball leaves a girl's hand w

How high does the seawater rise in the bell, A cylindrical diving bell 2.00...

A cylindrical diving bell 2.00 min diameter and 5.00 m tall with an open bottom is submerged to a depth of 220 m in the ocean. The surface temperature is 25.0°C, and the temperatur

Properties of laser, Properties of laser: Lasers have applications in ...

Properties of laser: Lasers have applications in various disciplines of science and technology. They also find applications in industry, medicine and defence and space science

Explain newtons cradle, Explain newtons cradle- A typical Newton's cradle c...

Explain newtons cradle- A typical Newton's cradle consists of metal balls of identically sized in a series suspended in a metal frame ,so that they are just touching each other at

For a plane mirror that is true of the normal, Question: For a plane m...

Question: For a plane mirror that is true of the normal? Feedback: The usual is an imaginary line that passes through the point of incidence and is perpendicular to

Long inextensible cord of length, A small bucket of mass M kg is attached t...

A small bucket of mass M kg is attached to a long inextensible cord of length L m. The bucket is released when the cord is in horizontal position. At its lowest point the bucket sc

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