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
TYPICAL JOINT DESIGNS THAT ARE USED IN ELECTRON BEAM WELDING Butt joint : Butt joint is the preferred joint as it involves only a small amount of machining prior to wel

Q. General corrosion rates of castings? Austenitic stainless steels (300 series) are very resistant to caustic in concentrations up to 50% and temperatures below 200 o F (95 o

Q. Access Considerations for plant design? Plant facilities shall be provided with acceptable access and egress for personnel, materials, and equipment by using access ways, ro


Find out the horizontal and vertical components of the force: A force of 120 N is exerted on a hook in the ceiling as illustrated in Figure. Find out the horizontal and vertic

Find out the velocity of the chain: Figure shows a metal chain ABC where portion BC is of length 0.4 metres and is hanging vertically, & portion AB of length 0.8 metres rests

Definition of screw conveyor Screw conveyors belong to the conveyer with traction component. It depends on the shaft with spiral blades in hematic chute to make material move o

CAPP for Machining Process This explained mainly two different approaches to Computer Aided Process Planning, i.e.  (a) Variant approach, and  (b) Generative approach.

Evaluation of Specific Volume of Steam: Specific volume of steam means the volume which is occupied by unit mass of steam. It is expressed in m3 /kg. Specific volume of steam

WHAT IS LOAD CARRYING CAPACITY ISMB 250 OF 1.2 MTR LENGTH. PL REPLY