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

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

Answer Details

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