Compute the centroidal moment of inertia, Mechanical Engineering

Compute the centroidal moment of inertia:

Compute the centroidal moment of inertia of a thin homogeneous bar AB of length l and having a mass of m kg

Solution

The mass centre of the bar is at mid point. Further, it is supposed that the zo axis coincides with the axis of the bar. The whole mass of the bar is m.

The elementary mass of the body of length dz may be written as

dm = (m/ l) dz

The coordinates of the point where this elementary mass is situated is (0, 0, zo).

Thus, from Eq. we have

                          =(1/12)ml2

I zo = I xo yo = I yo zo = I zo xo   = 0

The moment of inertia around the axis x passing through the end A may be calculated by substituting zc  = (½) l , in the parallel axis theorem.

Then from Eq. we have

Ix  = Iy  = ml2/12   + m ((1/2) l )2 = (1/3) ml 2

Posted Date: 1/29/2013 6:25:48 AM | Location : United States







Related Discussions:- Compute the centroidal moment of inertia, Assignment Help, Ask Question on Compute the centroidal moment of inertia, Get Answer, Expert's Help, Compute the centroidal moment of inertia Discussions

Write discussion on Compute the centroidal moment of inertia
Your posts are moderated
Related Questions
If Fuel Consumption is High Causes of Problem Remedy   Incorrect electrode gap of spark plug Worn out electrodes o

What is the chief advantage of CIDR over the original classful addressing scheme? CIDR stands for Classless Inter-Domain Routing is a new addressing scheme for the Internet, th


Gathering Lines: A gathering line, also called a ladder track, is one into which a number of parallel tracks merge. This is shown in Figure. It is used in marshalling yards.


Types of Brake The brakes used in motorcycles can be classified as follows: (a) Drum Brake (b) Disc Brake

what is the importance of stress analysis in steels

Calculate number of cycles to fracture: If the plastic deformation is taken into consideration calculate number of cycles to fracture in above Example. Solution Δ K I

write short note on''coefficient of insensitiveness''of governors.

A semi elliptical spring has 10 leaves in all, with the two full length leaves extending 625 mm. It is 62.5 mm wide and is prepared by strips 6 mm thick. Prepare a design of helica