QUESTION $4(25$ Points$)$

A slender bar of length $\backslash ($ L$=400\backslash$mathrm$\{$~mm$\}\backslash )$ is held in equilibrium, with one end touching a frictionless wall and the other end attached to a wire of length $\backslash ($ S$=600\backslash$mathrm$\{$~mm$\}\backslash )$ as illustrated. Knowing that the weight of the bar is $147$ N $($which acts at the mid$-$length of the bar$),$ determine:

a$.$ the distance $\backslash ($ h $\backslash ).$

b$.$ the tension in the wire.

c$.$ the reaction at $\backslash ($ B $\backslash ).$