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In the figure above the coefficient of static f... - JAMB Physics 2005 Question

In the figure above, the coefficient of static friction is 0.5. If the tension in the string is T, the acceleration of the system in motion is
A
5 ms-2
B
15 ms-2
C
3 ms-2
D
9 ms-2
correct option: a

Normal reaction R = 3 kg x 10 = 30N

coefficient of friction , μ = 0.5

∴ acting frictional force = μR = 30 x 0.5

Pulling/sliding force F = 6kg x 10 = 60N.

∴ Net downward force = ma = 60 - 15.0

=> (3 + 6)a = 45

∴ 9a = 45

a = 5m/s2

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