$\backslash (6-64\backslash ).$ Three separate ropes are used to support the $\backslash (50-\backslash$mathrm$\{$kg$\}\backslash )$ mass.

a$)$ Determine the force $\backslash ($ P $\backslash )$ required to hold the $\backslash (50-\backslash$mathrm$\{$kg$\}\backslash )$ mass in equilibrium.

b$)$ Based on your FBD of pulley C$,$ determine the total force in member D that connects the entire assembly to the ceiling.

c$)$ Based on your overall global FBD$,$ determine the total force in member D that connects the entire assembly to the ceiling.

d$)$ Compare your results from parts b and c $.$