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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.


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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