how to calculate centre of mass of an object by integration method?

Asked by  | 8th Nov, 2009, 11:52: AM

Expert Answer:

Let's say we want to calculate Xcm , and using integration method it'll be given by,

Xcm = (xλ(x)dx)/(λ(x)dx)

 where λ(x) is the linear mass density which depends upon x coordinate only and it's units are kg/m,

dx = small length element at a distance x m from origin.

The integration is definite and the limits for x are x = 0 to x = L.

In the same manner it can be extended to two or three dimentional objects but the integration changes to area i.e. double integration and volume i.e. triple integration respectively.

Regards,

Team,

TopperLearning.

 

Answered by  | 8th Nov, 2009, 03:00: PM

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