In the figure to the right, M2 has more mass than M1 and M1 has more mass than M

Question

In the figure to the right, 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 ... M1 g.
B) T2 is ... T3.
C) The magnitude of the net force on M2 is T2 - T3.
D) M1 accelerates downwards.
E) M3 g is ... T4.
F) T1 is ... T2.

Explanation / Answer

Since, M1 > M3, M2 must be moving towards left

Since, the pulleys are frictionless and have negligible mass,

T1 = T2, T3 = T4

Since, M2 is moving with constant velocity, its acceleration is zero

=> T2 - T3 - f = 0 where, 'f' is friction between M2 and horizontal plane

M1 and M3 must move with contant velocity as well

=> T1 = M1g and T4 = M3g

A) E

B) G (T2 - T3 - f = 0, => T2 = T3 + f)

C) F (Since, M2 is moving with costant velocity, magnitude of net force is zero)

D) F (M3 is not accelerating)

E) E

F) E

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