explain moment of inertia of hollow  cone

4 years ago

Share

Answers : (3)

                    

Dear Amrit pal



7837-833_7662_120px-Moment_of_inertia_cone.svg.png




consider this hollow cone ,now cut a ring of thickness dx at a distance x from the origin ,


   so radius of the ring will be  r'=xtanΘ         where Θ is the half angel of cone




so moment of inertia of this ring is  dI =dm r'2


   dm =[ M/πrL ]2πr'dL  where L is slant hight


        =[2M/rL]r'dx/cosΘ


so dI =[2M/rL]r'3dx/cosΘ


        =tan3Θ/cosΘ [2M/rL]x3dx


        =tan3Θ [2M/rh]x3dx


I =oh tan3Θ [2M/rh]x3dx


I=mr2/2


Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin



4 years ago
                    

The problem can also be solved like this:- AS we are calculating the moment of inertia along the vertical axis, i guess we can actually bring down all the circular rings forming the cone to the base level so that we get a circular disk and the moment of inertia of a circular disk is (MR^2)/2. I want to know if i am right...

I also want to know the moment of inertia of the cone along one of its base diameters. How do i do it??(i got the answer as (3MR^3)/4L.... i am not too sure about it)


Thank You!


Revanth.C 

2 years ago
                    

 how to find monent of inertia of solide cone?

2 years ago

Post Your Answer

More Questions On Mechanics

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
the index of refraction of fused quartz is 1.2 for light of wave length 500nm find the speed of light of these wavwlengths in fused quartz.
 
 
refractive index n = 1.2 wavelenght = 500nm speed of light n = c/v v = c/n v = 3x10^8/1.2 v = 2.5x10^8m/s
 
suhel 10 months ago
definition of electric current
 
 
An electric current is a flow of electric charge . In electric circuits this charge is often carried by moving electrons in a wire . It can also be carried by ions in an electrolyte , or by...
  img
Rinkoo Gupta 2 months ago
 
If the two requirements of an electric circuit are met, then charge will flow through the external circuit. It is said that there is a current - a flow of charge. Using the word current in...
 
Indu 2 months ago
optics means
 
 
optics is branch of science which involves the behaviour and properties of light ,including its interaction of matter and the construction of instruments that use or detect it.
 
BIRADHER SHREYA 4 months ago
 
the branch of physical science that deals with the properties and phenomena of both visible and invisible light and with vision.
 
Indu 4 months ago
View all Questions »