$2.)$ A person exerts a force $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ to keep the pulley$-$system below in equilibrium. The mass shown is $\backslash (\backslash$mathbf$\{150\}\backslash$mathbf$\{$~ k g$\}\backslash ).$ Note that there are $2$ ropes. The first is from the center of the large pulley down to the mass. The $\backslash (2^\{\backslash$text $\{$nd $\}\}\backslash )$ rope starts from the center of the large pulley, travels up through the other $2$ pulleys and is held in place by force $\backslash (\backslash$mathbf$\{$P$\}\backslash ).$

All sections of rope shown between pulleys are vertical.

EXTERNAL FORCES

a$.)$ Draw the FBD of the ENTIRE pulley$-$mechanism $($ropes $+$ all pulleys are included in the 'system'$).$ Label ALL external forces.

b$.)$ Draw the FBD of each pulley and solve for force $\backslash (\backslash$mathbf$\{$P$\}\backslash ).$

c$.)$ Solve for the external reaction forces for the mechanism at A$,$ B$.$