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
Do not round intermediate calculations, however for display purposes report intermediate steps rounded to four significant figures. Give your final answer(s) to three significant f

(a) What are the limitations of Reversed Carnot Cycle to be used in practice for refrigeration purposes? Also derive the mathematical expression of COP for reversed carnot cycle.

Q. Erosion-Corrosion In Sand Slurry Line? All sands are collected in the Inlet Slug Catcher and routed to the Desand Tank for separation. Sand Slurry lines are subject to erosi

Tell me the type of furnace and their principle

how to flow chart Volume calculation ?

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

Schedule Selection Of the p excellent continuations, q (first) operations are scheduled. This offers p latest partial schedules. After that step 1 is repeated. These steps'


Files: Files are used to remove excess metal by cutting action. These can be classified according to their length, shape, cross-section.

(a) Explain the terms: full floating, three-quarter floating, semi-floating rear axles and their use in different types of vehicles (b) How does a Hotchkiss drive differ from a