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 mean life and half life, Q. The half life of radon is 3.8 days. C...

Q. The half life of radon is 3.8 days. Calculate mean life. Half Life Period          HLP T ½ = 0.6931 / λ = 0.6931 τ therefore                      Mean life τ = T ½ / 0.

What is flux, The rate of flow of energy or particles across a given surfac...

The rate of flow of energy or particles across a given surface.

Organic or polymer solar cells , Organic & polymer solar cells are made fro...

Organic & polymer solar cells are made from thin films (typically 100nm) of organic semiconductor such as polymer and small molecule compounds like poly phenylene vinylene, copper

Deduce the conditions for constructive abd destructive, In Young's double s...

In Young's double slit experiment, deduce the conditions for (i) constructive, and (ii) destructive interference at a point on the screen. Draw a graph showing variation of the res

What is a monochromatic light, What is a monochromatic light? Ans: ...

What is a monochromatic light? Ans: Breaking the word down mono denotes one and chromatic means of colour so a fairly literal translation for the adjective monochromatic w

What are stark and zeeman effects, Q. What are Stark and Zeeman effects? ...

Q. What are Stark and Zeeman effects? It is found that while electric or magnetic field is applied to the atom all of the spectral line split into several lines. The former ef

Expression for the intensity distribution , Q.   Derive an expression for t...

Q.   Derive an expression for the intensity distribution due to Fraunhofer's diffraction at a single slit and shows that the intensity of the first subsidiary maxima is about 4.5 p

Explain moment of inertia, Explain moment of inertia Moment of inertia ...

Explain moment of inertia Moment of inertia is the term used to calculate or quantify the amount of mass located at an object's extremities. For instance if all the mass of an

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

Determine the magnitude of the force in direct current, The weightless trus...

The weightless truss shown below supports loads at point A & B and is fastened to the supports at C & E.  The value of F1 in kN is given in P13 and the value of F2 in kN is given i

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