Situation $3-$ The $1\mathrm{.}80-$m$-$diameter circular steel plate shown is supported by posts along its circumference. A load $P=1580N$ is placed at a distance $x=0\mathrm{.}60m$ from post $A.$ The mass of the plate is $320kg.=60.$

$7.$ Compute the weight $(kN)$ of the plate.

A$.5\mathrm{.}87$

C$.2\mathrm{.}58$

B$.4\mathrm{.}69$

$($b$.)3\mathrm{.}14$

$8.$ Neglecting the weight of the plate, what is the reaction $(N)$ at post A$?$

A$.878$

C$.351$

B$.452$

D$.634$

$9.$ Neglecting the weight of the plate, what is the reaction $(N)$ at post B$?$

A$.634$

C$.878$

B$.351$

D$.452$

$10.$ Considering the weight of the plate, what is the reaction $($N$)$ at post C$?$

A$.1923$

C$.1397$

B$.1578$

D$.1663$