PROBLEM 9.91
Using Mohr’s circle, determine for the quarter ellipse of Problem 9.67
the moments of inertia and the product of inertia with respect to new
axes obtained by rotating the x and y axes about O (a) through 45
counterclockwise, (b) through 30 clockwise.
SOLUTION
4
PROBLEM 9.91 (Continued)
xy
PROBLEM 9.92
Using Mohr’s circle, determine the moments of inertia and the
product of inertia of the area of Problem 9.72 with respect to new
centroidal axes obtained by rotating the x and y axes 30
counterclockwise.
PROBLEM 9.92 (Continued)
xy
PROBLEM 9.93
Using Mohr’s circle, determine the moments of inertia and the
product of inertia of the area of Problem 9.73 with respect to new
centroidal axes obtained by rotating the x and y axes 60
counterclockwise.
SOLUTION
4
PROBLEM 9.93 (Continued)
PROBLEM 9.94
Using Mohr’s circle, determine the moments of inertia and
the product of inertia of the area of Problem 9.75 with
respect to new centroidal axes obtained by rotating the x and
y axes 45 clockwise.
SOLUTION
4
PROBLEM 9.94 (Continued)
PROBLEM 9.95
Using Mohr’s circle, determine the moments of inertia and the
product of inertia of the
1
4
L3 2 -in.
angle cross section of
Problem 9.74 with respect to new centroidal axes obtained by
rotating the x and y axes 30 clockwise.
SOLUTION
4
PROBLEM 9.95 (Continued)