A composite beam is built-up from a combination of a channel and a wide-flange I beam as shown. The moment of inertia of the channel beam about a horizontal axis passing through its own centroid can be calculated as I_x = 9.98 in^4, while the corresponding value for the wide-flange I beam is I_x = 1291 in^4. Determine: a) the position of the centroid C of the composite beam relative to the bottom of the beam, and b) the moment of inertia of the composite beam about a horizontal axis passing through the centroid C of the composite beam.
