Q1
Assume it is moving already... If it is not, we have to
redo with μs... So now we do with μk
Let the tension in the string be T
For the 54kg
block,
Reaction force is 54g cos 42
Downward force is 54g sin 42
Taking moving downwards left as positive,
54 * a = 54g sin42 - T - μk 54g cos42
54a = 315.0979 - T -- (1)
For the 27kg
block,
upward force = T
downward force = 27g
Taking upwards as positive,
T - 27g = 27a
27a = T - 264.87
54a = 2T - 529.74 -- (2)
(2) - (1): 3T - 844.8779 = 0
T = 281.626N