The bracket ABC in each figure below can be upheld in eight distinct configurations as illustrated. Each connection is comprised of frictionless pins, rollers, or short links. For each scenario, ascertain whether (a) the plate is fully, partially, or inadequately constrained, (b) the reactions are statically determinate or indeterminate, (c) the equilibrium of the plate remains in the depicted position. Additionally, when feasible, calculate the reactions assuming the force P has a magnitude of 100 N.