Consider the beam in Figure P$2$a$,$ which is supported by a roller at A and a pin at B$.$ There are two point forces $F_1=2050N$ and $F_2=2750N$ acting on the beam as well as an applied moment of $M_{\text{a}\text{p}\text{p}\text{l}\text{i}\text{e}\text{d}}=2800Nm$ acting at A$.$ Assume the height of the beam is negligible.

Figure P$2$a$.$ A beam system with an applied moment ana pont torces.

a$)$ Determine the vertical reaction force at support A$.$ Use a positive value to indicate an upward force and a negative value to indicate a downward force. Provide your answer in $N$ to at least $4$ decimal places. $[2$ marks$]$

Vertical reaction force at support A $[$N$]$

b$)$ Determine the vertical reaction force at support B$.$ Use a positive value to indicate an upward force and a negative value to indicate a downward force. Provide your answer in $N$ to at least $4$ decimal places. $[2$ marks$]$

Vertical reaction force at support $B[N]=$

c$)$ Determine the horizontal reaction force at support B$.$ Use a positive value to indicate a rightward force and a negative value to indicate a leftward force. Provide your answer in $N$ to at least $4$ decimal places. $[2$ marks$]$

Horizontal reaction force at support $B[N]=$