QUESTION $2$

Answer with calculation and diagram

A rectangular plate subjected to $80$ N is shown in FIGURE Q$2.$ It is held in that position by hinges at A and B by a cable EF$.$ Assuming that the hinge at A does not exert any axial thrust.

a$)$ Sketch a free body diagram of the plate. $($CO$1$:PO$1)($C$2)$

$(2$ marks$)$

b$)$ Produce the tension equation in cable EF by the product of its magnitude and unit vector. $($CO$2$:PO$2)($C$3)$

c$)$ Determine the tension force in cable EF$.($CO$2$:PO$2)($C$4)$

$(4$ marks$)$

$(7$ marks$)$

d$)$ If hinges A and B exert axial thrust, is there any effect on the tension force in cable EF$.$ Justify your answer through

i$)$ Showing a free body diagram due to the effect of the changes, $($CO$1$:PO$1)($C$2)$

ii$)$ Detailed calculation. $($CO$2$:PO$2)($C$4)$

$(2$ marks$)$

$(6$ marks$)$

Figure Q$2$