Please answer a$-$f$.$ Show all your work and calculations.

$($a$)$ Calculate the tension, T $,$ on cable AB $.$

$($b$)$ If the diameter of cable $AB$ is $6$ mm $,$ calculate the

axial stress on the cable.

$($c$)$ If the allowable yield strength for the cable material

is $95$ MPa $,$ will the cable fail?

$($d$)$ If a factor of safety of $2$ is required for cable $AB,$

assuming the same material is used for the cable, what

is the minimum diameter of the cable required?

$($e$)$ Determine the diameter of pin C for an average

shearing stress of $40$ MPa $.$

$($f$)$ Use the diameter of pin C found in the step above,

determine the corresponding bearing stress on the

pedal at C $,$ and determine the bearing stress at each of

the brackets at C $.$