Answer:
Option The area is increased by a factor of
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to scale factor squared
Let
z-----> the scale factor
x------> the area of the dilated rectangle
y------> the area of the original rectangle
we have
------> is an enlargement
so
substitute
therefore
The area is increased by a factor of
Answer:
Ix = Iy =
Radius of gyration x = y =
Step-by-step explanation:
Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.
Mass of disk = ρπR2
Moment of inertia about its perpendicular axis is . Moment of inertia of quarter disk about its perpendicular is
.
Now using perpendicular axis theorem, Ix = Iy = =
.
For Radius of gyration K, equate MK2 = MR2/16, K= R/4.