01
Center of mass of a house
A “house” is the region bounded by the (non-regular) pentagon with vertex points at
, , , , . Find the CoM of the house using additivity of moments.
02
CoM of region between curves
Find the CoM of the region between the graph of
and the graph of over .
03
FlatCoMMan
Find the center of mass of FlatCoMMan. Assume a constant mass density
. Use additivity of moments.
04
CoM from Simpson’s
Use Simpson’s rule (with 6 subintervals) to estimate the centroid of this region:
You will need to estimate
and and with three separate integrals. You can use a calculator for your arithmetic.
