Two masses mA = 1.8kg and mB = 8.0kg are on inclines and are connected together
ID: 2132754 • Letter: T
Question
Two masses mA = 1.8kg and mB = 8.0kg are on inclines and are connected together by a string as shown in (Figure 1) . The coefficient of kinetic friction between each mass and its incline is ?k = 0.30.
If mA moves up and mB moves down, determine their acceleration.
Explanation / Answer
on mb :
8gsin21 - T - 0.30 x8gcos21 = 8a
on ma :
T - 1.8gsin51 - 0.30 x 1.8gcos51 = 1.8a
add them
9.8a = 8gsin21 - 0.30 x8gcos21 - 1.8gsin51 - 0.30 x 1.8gcos51
a = -1.11 m/s2
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