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. The quantities Tn and gare magnitudes.
(Select T-True, F-False, G-Greater than, L-Less than, E-Equal to. For example, if the first is T, the second L and the rest E, enter TLEEEE).
A) T2 is ..... T1.
B) m1g is ..... T1.
C) m1g + M2g + Mpg is ..... T3.
D) The center of mass of Mp+M1+M2 accelerates.
E) T1 + T2 is ..... T3.
F) The magnitude of the acceleration of M2 is ..... that of m1.
The Attempt at a Solution
A) T2 is greater than T1 since the pulley needs a bigger torque to rotate in that direction
B) m1g is less than T1. T1 = m1g + ma hence T1 is greater
C) m1g + m2g + mpg is equal to T3 because it holds up the whole system
D) I believe it is true since the whole system is accelerating but i am not sure
E) T1 +T2 is less than T3 because T3 holds up the whole system while T1 and T2 only take into account the masses and accelerations
F) The magnitude of the acceleration of M2 is equal that of m1 because the are all accelerating at same magnitude just different directions
I tried many other combinations but i cant seem to get it right..
Help would be appreciated :)