Draw the bond graph for the lever system shown below. The lever of a length

L has mass which is taken into account with the rotational moment of inertia, J$,$

about the fricitonless pivot point on the right$-$hand side. Assume that it is rigid. It

is being driven by a vertically acting source, F$($t$)$ at the position L$.$ You can assume

small displacements at the input such that all displacements are assumed to be vertical

only. The positive y$$direction is indicated in the figure and you can neglect gravity.

Label flows at all $1-$junctions, efforts at the $0-$junctions, and both effort and flow on

both bonds attached to all $2-$ports. Simplify the bond graph as much as possible by

removing flow$-$through junctions and reducing $$diamond$$ parallel constructions to $$T$$

constructions. Provide half$-$arrows on all bonds such that flows and efforts sum to zero

at all $0-$ and $1-$junctions, respectively. Hint: Your final bond graph should include

three transformers.