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

Number of neutrons in dipositive zinc ions with mass number, The total numb...

The total number of neutrons in dipositive zinc ions with mass number 70 is: (1) 34 (2) 40 (3) 36 (4) 38 Ans:40

Volt, Volt; V (after A. Volta, 1745-1827) The derived SI unit of elect...

Volt; V (after A. Volta, 1745-1827) The derived SI unit of electric potential, explained as the difference of potential among two points on a conductor carrying a constant cur

What do you understand by absorption coefficient, What do you understand by...

What do you understand by "Absorption coefficient"? which is a better absorber of sound, glass or fibre glass?

Which is correct statement about proton, Which is correct statement about p...

Which is correct statement about proton: (1)Proton is nucleus of deuterium (2)Proton is ionized hydrogen molecule  (3)Proton is ionized hydrogen atom (4)Proton is alfa

Measuring ield strength of permanent magnets, I want to measure H, not B Th...

I want to measure H, not B The magnets in question are permanent magnets (large Neo or SmCo magnets), not coils ============================== Steel _______

Explain newton second law - linear motion, Explain Newton Second Law - Line...

Explain Newton Second Law - Linear Motion If objects only followed Newton's first law then everything would be traveling in straight lines at a constant velocity or at rest.  B

Does the force constant of a spring changes, Does the force constant of a s...

Does the force constant of a spring changes if it is cut into parts?

Special resistor materials: tin, Tin: Atomic number ...

Tin: Atomic number 50 Symbol Sn Atomic weight 118.69 Discovery Known since ancient

Kinetic energy of the block at the bottom of the plane, A block of wood ini...

A block of wood initially at rest slides down an inclined plane. Neglecting friction, the kinetic energy of the block at the bottom of the plane is: a)  All converted into h

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