How Do You Calculate Tension in a String with Mass and Acceleration?

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To calculate the tension in a string with mass and acceleration, apply Newton's Laws to the mass m attached to the string. The net force acting on the mass is the difference between the gravitational force (mg) and the tension (T). The equation can be expressed as ma = mg - T. Rearranging this gives T = mg - ma, which provides the tension in terms of mass, acceleration, and gravity. This approach effectively demonstrates the relationship between these forces in a system with constant acceleration.
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Homework Statement


A string is attached to a mass and a pulley at the top end and the mass is free to move and descends with a constant acceleration, a.
By applying Newton's Laws to mass m, find an expression for the tension in the string, in terms of m, a and the acceleration due to gravity, g.

Homework Equations



F=ma

The Attempt at a Solution


I was thinking the net force downwards is mg-Tension force. And the net force results acceleration. So ma=mg-tension. is that correct?
 
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That's correct.
 

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