Axis perpendicular to the rod, Physics

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.

Posted Date: 3/25/2013 1:20:58 AM | Location : United States







Related Discussions:- Axis perpendicular to the rod, Assignment Help, Ask Question on Axis perpendicular to the rod, Get Answer, Expert's Help, Axis perpendicular to the rod Discussions

Write discussion on Axis perpendicular to the rod
Your posts are moderated
Related Questions

The decrease of mass is related to the binding of the individual particles together inside the nucleus. Therefore every stable nucleus has a mass which is less than the total ma

Radiography and depletion of Ozone layer: What is Radiography?  A. The method in which soft X-rays are used in medical diagnosis is called radiography. What are the uses

A coil havingof a resistance of 100 and an inductance of 200mH. If an alternating voltage, v, givenby v=200sin500t volts is applied across the coil, measure (a) The circuit


Pascal's principle describes that if the pressure is operated at any position in an incompressible liquid it is send undiminished to all other sections in the liquid. In the dia

Q. Describe the isotopes? Answer:- An atom of an element that has a diverse number of neutrons in its nucleus to other atoms of the element.

Velocity of light in moving media, Sagnac formula and its application in optical gyroscopes In 1913, the French physicist Georges Signac published some experimental results and

12 to 16 pages project on electrostatic shielding

It is described to this law, if the temperature T of the object is not very dissimilar from that of the environment T0, then rate of cooling -dT/dt is proportional to the temperatu