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

Determine intensity of the emergent light beam, The light is incident on a ...

The light is incident on a rotating Nicol prism and the intensity of the emergent light beam becomes zero and maximum periodically. What we can derive about the state of polarizati

Correspondence principle, Correspondence principle (N. Bohr) The princ...

Correspondence principle (N. Bohr) The principle that when a new, more general theory is placed forth, it has to decrease to the more specialized (and usually simpler) theory

Find the minimum wavelength of x-rays, Q. Find the minimum wavelength of X-...

Q. Find the minimum wavelength of X-rays produced by an X-ray tube operating at 1000 kV. λmin = 12400 A 0 / V Therefore λmin = 12400 X 10 -10 / 10 6 = 0.0124 A 0

New potential difference, A parallel plate capacitor has plates of area 200...

A parallel plate capacitor has plates of area 200 cm 2 and separation among the plates 1.00 mm. What potential difference will be manufactured if the charge of 1 nC is given to th

Find the atomic number and the mass number, Q. The radioactive isotope 84Pa...

Q. The radioactive isotope 84Pa214 undergoes a successive disintegration of two α decays and two β decays. Find the atomic number and the mass number of the resulting isotope.

Show real and simple or distinct poles, Real and Simple or Distinct Poles ...

Real and Simple or Distinct Poles If all the poles of F1(s) are of first order, Equation may be written in terms of a partial fraction expansion as where p 1 , p 2 ,...

Combination of capacitors, the equivalent capacitors of two capacitors 1.87...

the equivalent capacitors of two capacitors 1.87microfarad when connected in series 8mf when connected in parrallel. find the individual capacitances

Special resistor materials: lead, Lead: Atomic number ...

Lead: Atomic number 82 Symbol Pb Atomic weight 207.2 Discovery Known since pr

Thermometers, what are advantages and disadvantages for the six''s thermome...

what are advantages and disadvantages for the six''s thermometer

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