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 P$=2500$ N and Q$=550$ N acting on the beam. Here, L$=2$ m$.$ Assume the height of the beam is negligible.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$]=$ Consider now P and Q are removed from the system and replaced by a uniform distributed load of w$=\{1300\}$ N$/$m on the left$-$half of the beam and a non$-$uniform distributed load on the right$-$half of the beam starting from w$=\{1300\}$ N$/$m and decreasing to $0$ N$/$m at B$,$ as shown in Figure P$2$b$.$Figure P$2$b$.$ A beam system with uniform and non$-$uniform distributed loads.d$)$ Determine the total magnitude of the equivalent point force from the uniform and non$-$uniform distributed loads. i$.$e$.$ The addition of the two equivalent point forces. Provide your answer in N to at least $4$ decimal places. $[1$ mark$]$Magnitude of the total equivalent point force $[$N$]=$ e$)$ Determine the position x $($measured from point A$)$ of the total equivalent point force calculated in part $($d$)$ that is required to provide the same reactions from the uniform and non$-$uniform loadings shown in Figure $2$b$.[2$ marks$]$