b$)$ A uniform pipe $75$ m long containing water is fitted with a plunger. The water is initially

at rest. If the plunger is driven by a crank $0\mathrm{.}3$ m long and making $120re\frac{v}{m}in$ so that the

plunger moves with simple harmonic motion, what would be the maximum pressure on

the face of the plunger.

$(10$ Marks$)$