Solving Pulley System Questions: Tensions, Weights, and F=ma

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The discussion focuses on solving pulley system questions involving tensions and weights, specifically analyzing the relationships between T1, T2, M1, M2, and M3. It is established that M2, which has more mass than M1, travels at a constant speed due to friction on the horizontal plane. The participants utilize Newton's second law, F=ma, to derive the relationships between the forces acting on the masses and the tensions in the system. The correct answers to the tension comparisons were identified as LExTLE, indicating a mix of less than and equal relationships among the tensions and weights.

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In the figure below, M2 has more mass than M1 and M1 has more mass than M3. The questions refer to the magnitudes of tensions and weights. There
is friction between the horizontal plane and M2 (mu_k not equal to 0). M2 is observed to travel at a constant speed. Assume that the pulleys are frictionless and have negligible mass. Select the appropriate symbol for each statement: T (True), F (False), G (Greater than), L (Less than), or E (Equal to). (If the first two are 'greater than,' and the last four 'less than,' then enter GGLLLL).
A) T1 is ... T2.
B) M1 g is ... T1.
C) The magnitude of the net force on M2 is T2 - T3.
D) M1 accelerates downwards.
E) T3 is ... T2.
F) T4 is ... M3 g.



F=ma

So far, I have: LExTLE, where x is unknown. I am not sure if these are right, just looking for some guidance on this problem really.
 

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Welcome to PF!

Hi _MNice_! Welcome to PF! :smile:
_MNice_ said:
A) T1 is ... T2.
B) M1 g is ... T1.
C) The magnitude of the net force on M2 is T2 - T3.
D) M1 accelerates downwards.
E) T3 is ... T2.
F) T4 is ... M3 g.

F=ma

So far, I have: LExTLE,

hmm … 2 out of 6 correct :redface:

almost everything in mechanics is done by applying F = ma

call the acceleration "a" (it's the same for all three masses), and apply F = ma to each of the three masses (separately)

(also to a tiny bit of string round each pulley)

show us what you get :smile:
 

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