A massless string crosses a frictionless pulley while carrying two masses at its ends: m and me (m;> m.
When we say a pulley is frictionless, we mean that there is little to no friction in its bearings, which allows the pulley to rotate freely and without encountering any resistance. We don't want to imply that there is little to no friction between the string and the surface of the pulley.
The following equations are used to determine the tension T = M x A. If you are attempting to determine T in a simple pulley system with a mass of 9g and an upward acceleration of 2m/s2, then T = 9g x 2m/s2 = 18gm/s2
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