$($a$)$ A sluice gate is located at the base of a dam as shown in Figure Q$2$a$.$ The

depth of water behind the dam is $4\mathrm{.}2m.$ The gate is $1m$ high and $2\mathrm{.}5m$ wide.

$($i$)$ Calculate the force exerted by the

water on the gate and the point of

application of the force.

$[3$ marks$]$

$($ii$)$ Calculate the reaction forces at points

$E$ and $F$ at the top and bottom of the

gate that would be required to hold the

gate shut? $[3$ marks$]$

rigure QZa