True$/$False $(2$ points each$)$

$1.$ For the area A $,$ we know the centroid's $($C$)$ location, area, distances between the four parallel axes, and the moment of inertia about axis $1.$ We can determine the moment of inertia about axis $2$ by applying the parallel axis theorem between axes $1$ and $3$ and then between the axes $3$ and $2.$

a$.$ True.

b$.$ False.

$2.$ The moment of inertia is the smallest for axis $1.$

a$.$ True.

b$.$ False.

$3.$ The moment of inertia is largest for axis $3.$

a$.$ True.

b$.$ False

$4.$ The mass moment of inertia and moment of inertia are the same in engineering.

a$.$ True.

b$.$ False.

$5.$ If a vertical rectangular strip is chosen as the differential element, then all the variables, including the integral limit$,$ should be in terms of $\backslash ($ y $\backslash ).$

a$.$ True.

b$.$ False.

$6.$ The parallel$-$axis theorem can be applied only to the moment of inertia, not the mass moment of inertia.

a$.$ True.

b$.$ False.

$7.$ For the shape to the right, we want to determine the mass moment of inertia. We can determine this by finding the mass moment of inertia by finding the value of the cylinder, then subtracting the ellipsoid.

a$.$ True.

b$.$ False.

$8.$ The parallel$-$axis theorem for an area is applied between any two parallel axes.

a$.$ True.

b$.$ False.