Centre of gravity and moment of inertia, Mechanical Engineering

Centre of Gravity and Moment of Inertia:

-  For a uniform plate of mass M, the overall mass may be divided into individual masses Mi for which centre of gravity is known as (xi, yi), the values of x, y for the centre of gravity of the overall mass is specified by

582_Centre of Gravity and Moment of Inertia.png

and

338_Centre of Gravity and Moment of Inertia1.png

-  Distance of centroid of semicircular area of radius a through the centre is 4 a/3 π

-  Distance of centre of gravity of consistent wire bent into a shape of semicircular arc of radius a from its centre is equal to 2 a /π

-  Theorem I of Pappus and Guldinus

-  The area of the surface produced by revolving a plane curve around a non-intersecting axis in the plane of the curve is equal to the product of (a) length of the curve, and (b) the distance travelled through the centroid G of the curve throughout the revolution.

-  Theorem II of Pappus and Guldinus

-  The volume of solid produced by revolving a plane area A around a non-intersecting axis in its plane is equal to the product of (a) Area A, and (b) the length of the path travelled by the centroid G of the area throughout the revolution w.r.t. axis.

-  Particular parameters of some solids:

1360_Centre of Gravity and Moment of Inertia2.png

-  Area moment of inertia about x axis

1330_Centre of Gravity and Moment of Inertia3.png

 

-  Area moment of inertia about y axis

1482_Centre of Gravity and Moment of Inertia4.png

-  Parallel Axis Theorem : Area moment of inertia about X1 X1 axis at distance y1 from XX = I XX  +  A ( y1 )2

-  Perpendicular Axis Theorem : If z axis is perpendicular to the plane of area A, then =  I z z  = I x x  +  I y y

Posted Date: 1/28/2013 6:34:20 AM | Location : United States







Related Discussions:- Centre of gravity and moment of inertia, Assignment Help, Ask Question on Centre of gravity and moment of inertia, Get Answer, Expert's Help, Centre of gravity and moment of inertia Discussions

Write discussion on Centre of gravity and moment of inertia
Your posts are moderated
Related Questions
Q. Corrosion resistance of Zirconium? Zirconium offers excellent corrosion resistance to most oxidizing and reducing acids and virtually all alkalis. However, it is not resist

INTRODUCTION: Automobile service and maintenance is a very important function in the automobile industry for achieving highest level of customer satisfaction. Earlier it was confi

Types of Culverts: Culverts are constructed with various materials and to different designs. The popular forms are : (a) Temporary stone scuppers (b) Stone slab culverts

Explain frequency reuse In the cellular concept, service area is separated into regions called cells and the available frequency is divided among these cells. Every cellular b


how to determine proper the depth of cut for the tool if the drill is made of HSS and the work piece is made of alluminume alloy?

Calculate quantity of steam in the vessel - thermodynamics: A closed metallic boiler drum having capacity of 0.24m 3 contains steam at pressure of 11bar and a temperature

Illustrate the specification of PDDI (i)  The 3-D geometry of the product which is defined by a set of curves, surfaces and volumes. (ii) The topology which describes the se

Objectives After studying this unit, you should be able to explain various procedures in service and maintenance, and appreciate the importance of the inspections

Write down the uses of following tools and make neat sketches of the same : (a) Vernier Caliper (b) Steel Rule