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


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
WELD PREPARATION: Joint Tolerance & Cleaning   Joint Tolerance The allowable tolerance of joint dimensions depends upon whether the welding is to be done manually or

Q. Illustrate about Plant Type and Process? Plant layout is influenced by the type of plant (both the industry and technology utilized) and the kind of process units and associ

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Define the Abrasive Jet Cutting Machines 1. Abrasive jet cutting machines which are used to cut sheet materials or to remove materials of work piece from a surface by generatin

The objective of the project is to protect damage of the DC motors. If the motor is not working it will be shown with red light, if working normally then green and if working at a

For fan installation detail and indicate correct structural components, drip pan, acoustical and thermal insulation. Provide special acoustical curbs for critical areas. Chec

why there is a different angular velocity in the two cranks of a drag link mechanism?

Battery: Battery is a device that produces direct current (DC). The chemical energy of battery ingredients converts into electrical energy in the form of direct current. This is a

Q. Can you explain Bentonite binders? Its general composition is MgO.Al 2 O 3 .Sio 2 .H 2 O. it is formed by weathering of volcanic or igneous rocks. It is a creamy white powde