Problem $16\mathrm{.}87$ modifled

A $4\mathrm{.}1-$kg slender rod is welded to the edge of a $3\mathrm{.}3-$kg uniform disk as shown. The assembly rotates about A in a

vertical plane under the combined effect of gravity and of the vertical force P$.$ It is known that at the instant shown

the assembly has an angular velocity of $11\mathrm{.}6$ra$($d$)/($s$)$ and an angular acceleration of $34\mathrm{.}7$ra$($d$)/($s$^(2))$ both counterclockwise.

Calculate only the magnitude of the force P$.$P$=$

Calculate the reaction at A$.$ F$\_($A$)=$

Calculate only the magnitude of the internal moment at point C$.$M$\_($C$)=$

B

$240$ mm

$120$ mm

$240$ mm

D