What is the tension in the cylindrical wire?

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To determine the tension in the cylindrical wire, assume it is massless and apply Newton's second law to both masses. The 5.8 kg mass experiences a downward force due to gravity, while the 1.5 kg mass experiences a lesser downward force. The tension in the wire remains uniform due to its massless nature, leading to equal magnitudes of displacement, velocity, and acceleration for both masses. By calculating the net forces and applying the equations of motion, the tension can be derived. This analysis reveals the relationship between the masses and the resulting tension in the wire.
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A cylindrical wire is placed over a frictionless pulley with one end of a wire connected to a 5.8 kg mass and the other to a 1.5 kg mass. If g=9.8 m/s/s, what is the tension in the wire?


I have no idea how to start on this.
 
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Since it is not stated otherwise, assume the wire is massless. Draw a free body diagram for each mass and apply Newtons 2nd law to each of them. The tension in the wire will be uniform (massless wire) and the masses will have common magnitudes of displacement, velocity, and acceleration.
 

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