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

What does hull speed mean, Q. Illustrate what does hull speed mean? An...

Q. Illustrate what does hull speed mean? Answer:- Hull speed- It is the theoretical limit of a sail craft's speed. It is able to be approximated by the following formula

Determine magnitude of the current in the circuit branch, A circuit which e...

A circuit which employs a DIRECT CURRENT source has a branch which contains a capacitor. After the circuit has reached a steady state, what is the magnitude of the current in the c

Evaluate the uniform speed of gondola, Evaluate  the uniform speed of gond...

Evaluate  the uniform speed of gondola? Q. The world's largest ferris wheel with a radius of 50.0 m is located in Yokohama City, Japan. Each of the sixty gondolas on the wheel t

What is neutral temperature, Q. What is neutral temperature? Maintain ...

Q. What is neutral temperature? Maintain the temperature of the cold junction constant the temperature of the hot junction is gradually increased. The thermo emf increase to a

Explain the types of equilibrium, STABLE EQUILIBRIUM If object is in st...

STABLE EQUILIBRIUM If object is in stable equilibrium and if we displace object to a very little displacement dr then it will return back to starting position. UNSTABLE EQU

What are the properties of cathode rays, (i)Cathode waves always travel in ...

(i)Cathode waves always travel in straight path.   (ii) Cathode rays exert mechanical force on the objects they strike. (iii) Cathode rays make fluorescence. (iv)

Radioactivity, laws of successive disintegration

laws of successive disintegration

Measure the power by the two wattmeter method, Three similar coils, each ha...

Three similar coils, each having a resistance of 8 and an inductive reactance of 8 are connected (a) in star and (b) in delta, across a 415V, 3-phase supply. Measure for

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