Multiple integrals: Applications of multiple integrals
Centre of gravity, static moments and moments of inertia
Determine the centre of gravity of the rigid body \(R\) sketched below and enclosed by the plane \(z=0\) and the paraboloid \(z=1-x^2-y^2\) under the assumption that the density is a constant \(\rho\).
| \(\cv{\bar{x} \\ \bar{y} \\ \bar{z}} ={}\) |
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