Does T3 Equal the Sum of m1g, M2g, and Mpg in a Frictionless Pulley System?

[asz304]

Homework Statement

A pulley with mass Mp and a radius Rp is attached to the ceiling, in a gravity field of 9.81 m/s2 and rotates with no friction about its pivot. Mass M2 is larger than mass m1. T3 holds the pulley. The quantities Tn and g are magnitudes.
(Select T-True, F-False, G-Greater than, L-Less than, E-Equal to. If the first is T, the second L and the rest E, enter TLEEEE).

A) T3 is ... T1 + T2 [ Attempt: Less Than ]
B) T1 is ... m1g. [ Attempt: Less Than ]
C) The C.M. of Mp+M1+M2 does not accelerate. [ Attempt: True ]
D) T3 is ... m1g + M2g + Mpg.[ Attempt: Equal ]
E) T1 is ... T2 [ Attempt: Equal ]
F) The magnitude of the acceleration of M2 is ... that of m1. [ Attempt: Equal ]

Can you please check if one of my attempts are correct? Thanks

 

[Andrés85]

i think in D) T3 = m1g + m2g + Mpg - T1 - T2

so T3 is less than m1g + m2g + mpg