A thin uniform plate occupies the region between the parabola and the line

PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Calculus of change and accumulation · Calculus of change and accumulation

Mathematical Methods for Physics, Ch Multiple integrals and change of variables

Problem

A thin uniform plate occupies the region between the parabola

y=x^2

and the line

y=2x

, with

x

and

y

in metres. ((a)) Find the plate's area with vertical strips, and again with horizontal strips, and check that the two agree. ((b)) Find its centre of mass

(\bar x,\bar y)

Browse the problem library