A trapezoidal river channel section has a basedimension of 30 feet, a liquid depth of 4 feet, and sideslopes of 4 to 1 (horizontal to vertical).
5.1 By integration, determine the locationof the centroid relative to the channel bottom of this trapezoidalsection.
5.2 By integration, determine the moment ofinertia about a horizontal axis at the channel bottom. Usingthe parallel axis theorem, determine the moment of inertia about ahorizontal axis through the centroid.