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

Explain phase advancers, Phase advancers: Phase advancers are used to bett...

Phase advancers: Phase advancers are used to better the power factor of induction motors. The low power factor of an induction motor is because of the fact that its stator winding

Spectrum, calour formed in pure and impure spectrum

calour formed in pure and impure spectrum

Explain instantaneous acceleration, INSTANTANEOUS ACCELERATION: The acc...

INSTANTANEOUS ACCELERATION: The acceleration of the body at any certain instant during its motion is called to be an instantaneous acceleration.

Find the gain in system, For the system shown below the gain, G, of block A...

For the system shown below the gain, G, of block A is variable and can be set as low as 100 and as high as 500. The only problem with block A is that its gain fluctuates with high

Explain the formation of diffraction pattern, Explain the formation of diff...

Explain the formation of diffraction pattern due to plane transmission grating. Describe the meaning of missing spectra in the diffraction pattern.

How many ports does a fiber optics system have, How many ports does a fiber...

How many ports does a fiber optics system have? Depending upon the final use the main common parts to account for in a fundamental system are: bushing, end fittings and illumin

Sara, a sinusodal transverse wave is travelling on a string any point on th...

a sinusodal transverse wave is travelling on a string any point on the string

Grounding a positively charged electroscope, Grounding a Positively Charged...

Grounding a Positively Charged Electroscope While the positively charged electroscope is touched and its charge becomes grounded or neutralized this is depicted within the anim

Why does it take longer to heat a bucket of water, Why does it take longer ...

Why does it take longer to heat a bucket of water than a cup of water? Because there is extra water in a bucket than in a cup, and more energy has to be put into the bucket of

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