Moment of inertia, Physics

A non-uniform rod AB has a mass M and length 2l.The mass per unit lengthof 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, a)through A,

b) through the mid point of AB.
 
Ans) let a element of length dx at adistance x from the point A of the rod.

mass of this element will be dm = mxdx

so moment of inertia of this element about point A is

  dI = dm * x2

for moment of inertia of whole rod perform intigration

I=  ∫dI = o2Ldm * x2

            =o2Lm * x3 dx

            =4mL4

and we know M =o2Ldm

                      = o2Lmxdx

                      =2mL2

so moment of inerta  I =2ML2

Posted Date: 3/8/2013 8:26:30 AM | Location : United States







Related Discussions:- Moment of inertia, Assignment Help, Ask Question on Moment of inertia, Get Answer, Expert's Help, Moment of inertia Discussions

Write discussion on Moment of inertia
Your posts are moderated
Related Questions
Energy is transferred in a one direction only. Example : Wave propagating in a stretched string.

what are characteristics of resistances

Surface Imperfection: These are two dimensional and refer to a region of distortions that lies around a surface having a thickness of a some atomic diameters.

is there relation between emf and size os cell?

project of class12,,to demonstrate electrostatics shielding

a boy throws a ball of mass 20 kg vertically upwards.it raises to a maximum height of 100 m.at what height will the kinetic energy be reduced to 70%

The screw is an inclined plane Mark off and cut out a right angle triangle on a piece of white paper or a piece of wrapping paper. The triangle should be about 30 cm long on it

The output of an OR gate is linked to both the inputs of a NAND gate. Draw the logic circuit of this combination of getes and write its truth table.  Illustrate a plot of potent

moment of inertia theory and easy diagrams

A body which gets its real configuration immediately and completely after the removal of deforming force from it, is called as perfectly elastic body. Phosphor bronze and quartz ar