$9\mathrm{.}45.$ Assume that the torque output diagram of Fig. $9\mathrm{.}77$ is for the first cylinder of a

two$-$cylinder in$-$line engine with cranks at $180.$ On this diagram, superimpose the same

diagram for the second cylinder. Determine the locations of maximum and minimum

crankshaft speeds in terms of the crank angle of the first cylinder.

$9\mathrm{.}46.$ If each square inch of a torque diagram represents $375ft*lb$ of work, the area

between the points of ${}_M$ and ${}_m$ is $1\mathrm{.}20in.{?}^2,$ the engine speed is $3500$ rpm $,$ and the

maximum allowable fluctuation of speed in the engine cycle is $35$ rpm $,$ determine the

FIGURE $9\mathrm{.}77$