Find out the moment of inertia of a semicircle, Mechanical Engineering

Find out the moment of inertia  of a semicircle:

Find out the M. I. of a semicircle ABM around its periphery AB and also around centroidal axes x and y as illustrated in Figure.

492_Find out the moment of inertia  of a semicircle.jpg


The position of centroid C of the semicircle is already calculated earlier. It is

                                      x¯ =  4 a /3 π ≈ 0.424 a

I(AB) for semicircle =  1/2 [I AB  for full circle] = π a 4 / 8

 IGY +  A (x¯)2  =  I ( AB) for semicircle =  (½) I (AB) for full circle

∴ I y =  π a /8 -  (π a2 /2)(0.424)2 a2

I y  = a4  (0.3927 - 0.2824)

I y  = 0.1103 a 4

Posted Date: 1/29/2013 1:30:04 AM | Location : United States

Related Discussions:- Find out the moment of inertia of a semicircle, Assignment Help, Ask Question on Find out the moment of inertia of a semicircle, Get Answer, Expert's Help, Find out the moment of inertia of a semicircle Discussions

Write discussion on Find out the moment of inertia of a semicircle
Your posts are moderated
Related Questions
Q. Identification of Pressure Welds? Pressure welds shall be identified as follows: a. Generally each weld shall be stamped adjacent to the weld with the welder's identity c

Uniformly Distributed Load and Uniformly Varying Load: Uniforml y Distributed Load (UDL) A UDL is one which is spread over beam in such a manner that the rate of loading

Find out the angle of force: Q: A uniform wheel having 60 cm diameter weighing 1000 N rests against rectangular obstacle   15 cm high. Find least force required which when ac

Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by heating the materials to suitable temper

A wooden cylinder (specific gravity = 0.6) of circular cross - section having length L and diameter D floats in water. Find the maximum permissible (L/D) ratio so that the cylinder

What is the Ultimate Tensile Strength for aluminum in the SI Units?

limitations of euler''s theory

Thermal Reservoir - Thermodynamics: Thermal Reservoir. A thermal reservoir is the part of environment that can exchange heat energy with system. It has adequately large capa

Q. Inspection and testing of vessels? The Vendor shall be responsible for all inspection and testing. WorleyParsons reserves the right to inspect vessels or parts of vessels at

Determine the point of contraflexure: Draw the shear force & bending moment diagram for 10 m span overhanging beam along overhanging part of 4 m subjected to a system of loads