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Two blocks are connected by a massless string, which passes over a frictionless

ID: 2167418 • Letter: T

Question

Two blocks are connected by a massless string, which passes over a frictionless pulley. The coefficient of kinetic friction between the 3-kg block abd the horizontal surface surface is 0.54. The vertical hanging block weighs 4-kg. When the system is released, the blocks accelerate at the same rate. Draw a force diagram before you apply Newton's laws.

Calculate the acceleration of the system. [3.33m/s^2]
Calculate the tension in the string. [25.9 N]

The correct answers are in the brackets. I just need help arriving at that point.

Explanation / Answer

3g-T=3a T-4g0.54=4a thus 3g-3a=4a+2.16g a=0.84g/7 =3.33 T=25.9 N