Consider the plane frame shown below. Assume that the connection at A is a Pin and the connection at C is a Roller. The joint at B is rigid. Complete the following:

a$)$ Determine the reaction forces at A and C$.$

b$)$ Use the method of members to determine the end forces and moments acting on members AB and BC$.$

c$)$ Plot the internal force diagrams for axial force, shear force and bending moment for members AB and BC $.$