Consider the system of blocks in the figure below, with m2 = 4.9 kg and θ...
Consider the system of blocks in the figure below, with m2 = 4.9 kg and θ = 33°. If the coefficient of static friction between block #1 and the inclined plane is μS = 0.25, what is the largest mass m1 for which the blocks will remain at rest?
Homework Answers
from the force diagram of mass m2 :
T = m2 g
T = 4.9 x 9.8 = 48.02 N
from the force diagram Perpendicular to incline for block 1 :
Fn = m1 g Cos33
from the force diagram parallel to incline for block 1 :
m1 > m2
T + f = m1 g Sin33
T + ?S m1 g Cos33 = m1 g Sin33
48.02 + (0.25) m1 (9.8) Cos33 = m1 (9.8) Sin33
m1 = 14.63 kg
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