Find out the centre of gravity of solid sphere, Mechanical Engineering

Find out the centre of gravity of solid sphere:

Find out the C. G. of a body formed by a solid sphere placed over a solid cylinder of similar radius a as illustrated in Figure, where a = 20 cm.

1870_Find out the centre of gravity of solid sphere.jpg

Solution

Let y axis to be vertically along with the axis of cylinder with centre O of its base as origin.

V1 = Volume of cylinder = π a 2 × 2 a =  2 π a3

V2 = Volume of sphere=(4/3)  π a3

Total volume = V1 + V2 = V (say)

 If G is the centre of gravity of the combined body, then OG =  y¯

V y¯ = V1  y1 + V2  y2

π a3   [2 +  (4/3)]  y¯ = π a3  [2 × a] + π a3 × ((4/3)× 3a)

=  π a3 [2 a + 4 a]

∴ y = 6 a / (2 +  (4 /3)) =     6 a / (10/3)

= 1.8 a

Posted Date: 1/29/2013 1:12:58 AM | Location : United States







Related Discussions:- Find out the centre of gravity of solid sphere, Assignment Help, Ask Question on Find out the centre of gravity of solid sphere, Get Answer, Expert's Help, Find out the centre of gravity of solid sphere Discussions

Write discussion on Find out the centre of gravity of solid sphere
Your posts are moderated
Related Questions
Frames: You have been introduced to the analysis of frames. By going through this unit, you may identify frames and differentiate them from trusses. The method for analyzing f

Pyrolysis Pyrolysis is the procedure of depositing a ceramic on a heated substrate. The process is used to deposit coating or generate thin walled components of graphite or si

Q. Limitations of fusion bond epoxy coatings? The application of fusion bond epoxy coatings shall be limited to specially equipped coating yards or plants. The plant operations

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

Q. Show Leak Area Preparation? Clearly mark the location of the leak on the flange with a permanent marker. Notes: 1. Depressurizing hydrocarbon lines in non-emergency event

Our sir asked us to design a knuckle joint...they gave us only the tensile force applied on the joint as 50kn...and told us to find the appropriate material..so what can we use???

You need to sketch shear force and bending moment diagrams and estimate maximum bending and shear stresses acting on the beam using your knowledge in beam analysis.  Please note

GMAW POWER SOURCE A power source wit h a flat characteristics is almost universally used for GMAW process as it provides self adjustment and stabilisation of the arc. Also it m

Method of section: Define the method of section? How can you solve the problems with the help of method of section? Sol.: This method is powerful method for determining

Magnitude of the resultant couple: For non-parallel forces also the location of the line of action of resultant may be determined by utilizing R × d = ∑ M o . The magnitu