Location of centre of gravity of a hemisphere, Mechanical Engineering

Location of centre of gravity of a hemisphere:

Find out the location of centre of gravity of a hemisphere of radius a.

Solution

Figure shows the cross-section of the hemisphere where DE = 2a, the diameter of the hemisphere.

1117_Location of centre of gravity of a hemisphere2.png

Assume a thin slice AB of volume dV taken at a distance x from center O of the hemisphere.

Radius of slice = a sin θ

If dx is the small thickness of slice,

dV = π (a sin θ)2  dx

x = a cos θ

dx = - a sin θ dθ

Letting equation of moments about O,

1143_Location of centre of gravity of a hemisphere.png

343_Location of centre of gravity of a hemisphere1.png

                                    = πa4/4

                            ∴x¯ =3a/8

Posted Date: 1/29/2013 1:06:14 AM | Location : United States







Related Discussions:- Location of centre of gravity of a hemisphere, Assignment Help, Ask Question on Location of centre of gravity of a hemisphere, Get Answer, Expert's Help, Location of centre of gravity of a hemisphere Discussions

Write discussion on Location of centre of gravity of a hemisphere
Your posts are moderated
Related Questions
Direct and Bending Stresses: defined neutral axis, introduced the influence of axial force and bending moment on different sections, attained the core or kernel of di

for a 210 MW unit how we calculate power output at each stage if the turbine has 25 reaction stages

WHAT IS SPECIFIC HEAT

Advantages of Abrasive Jet Cutting Machines 1. Ability to cut brittle or heat sensitive material without damage. 2. Capability to cut intricate holes in material of any hard

A semi circular frame of flexural rigidity EI is built at A and caries a vertical load W at B. calculate the magnitude of the vertical and horizontal deflection at B and hence the

Can you prove an equation from Plane Stress and Plane strain?

Stroke: The nominal distance through which a working piston moves between two successive reversals of its direction of motion is called the stroke and is designated by the letter


Temporary Stone Scuppers: In hill roads, it is customary to cut the roads from the hill-face and to open up the road immediately thereafter to traffic. Further improvements s

Q. What is Boiler feedwater? The boiler feedwater will be a mixture of desalinated water, treated make-up water and returned condensate, deaerated and heated, supplied by other