Answer Happy

1. Center of Maas: Calculate the center of mass of the following
objects (12 Points): a. The triangle with vertices (−2,−2), (4,−2)
and (4,4). b. A half sphere of radius R. c. A circular-cone of base
radius R and height H. d. The region bounded by y=(x−2)2 and y=4.
2. Moment of Inertia: Calculate the moment of inertia of the
following objects about the center of mass (20 Points): a. A
spherical shell. b. A solid sphere. c. A circular cylinder rotating
about its axis. d. A circular cylinder rotating perpendicular to
its axis.
1. Center of Maas: Calculate the center of mass of the following objects (12 Points): a. The triangle with vertices (-2,-2), (4,-2) and (4,4). b. A half sphere of radius R. c. A circular-cone of base radius R and height H. d. The region bounded by y=(x-2)2 and y=4. 2. Moment of Inertia: Calculate the moment of inertia of the following objects about the center of mass (20 Points): a. A spherical shell. b. A solid sphere. c. A circular cylinder rotating about its axis. d. A circular cylinder rotating perpendicular to its axis.