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


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


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
Calculate the critical crack length: A wide plate of mild steel is subjected to uniform tensile load causing a stress of 100 MPa. Calculate the critical crack length in the ce

(a) Derive a mathematical expression for the efficiency of a dual cycle. (b) An oil Engine working on a dual combustion cycle has a compression ratio 10 and cut-off takes place

ES 347 - Thermodynamics Project Assigned: 3/28/2013 Due: 4/25/2013 Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a

What do you mean by Heat Transfer ? Compare (i) Work done with Heat Transfer (ii) Thermodynamics with Heat Transfer. State whether Heat Transfer is a path function or state functio

when correction couple should be applied?

difference between stress intensity factor and stress concentration factor

PROBLEM 1 (30 points) Consider a Boeing 747-400 at weight close to the maximum takeo? weight (MTOW) cruising at Mach 0.82 at an altitude of 32000 ft. (a) How much thrust is needed

Flow through pipes in series and parallel

The stepped bar in Fig Q6 is stretched along the vertical axis and the maximum upward displacement is found to be 0.008 m. The bar has cross-sectional areas of A 1 and A 2 ov