The following bond graph segment may represent an ideal generator driving an ideal motor.

Bond $1,$ the input to the first gyrator, represents the flow of mechanical power into the generator.

Bond $2$ is in the electrical domain and represents the flow of electrical power from the generator to

the motor. Bond $3,$ representing power output from the motor is once again in the mechanical

domain.

a$)$ For the bond graph above, derive a simplified bond graph containing only a single component.

Clearly show and explain all of your work.

b$)$ If the bond graph above represents a cascade of a generator and a motor, what real, physical

component does the simplified bond graph represent? Sketch this component.

c$)$ If r$\_(1)=$r$\_(2),$ what would the simplified bond graph represent?

Please answer all of the way to get a thumbs up$!$ Please show as many steps as you can and thank you!!