We consider a thin plate of constant density occupying the region of the plane bounded by a
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Question:
We consider a thin plate of constant density
occupying the region of the plane bounded by a closed curve C.
a) Using Green's theorem, show that the center of mass of the plate of the plate can be calculated using the formulas :
where m is the mass of the plate.
b) Determine the center of mass of a thin plate occupying the region delimited by the curve C parameterized by :
knowing that the mass of the plate is m = 11π
Curve C is shown below :
You can use software or the reduction formulas to evaluate integrals.
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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