From what I\'ve learned so far about forces, to calculateacceleration you need t

Question

From what I've learned so far about forces, to calculateacceleration you need to know the net force. So what I want tounderstand is that do you need to calculate the net force relativeto an axis? Such as in this problem when you have to calculate themagnitude of the acceleration of the block (on an inclined plane)as the cord is cut, the forces along the y-axis is the normal forceand along the x-axis, it's the tension. So if I'm suppose tocalculate the net force, it would be along the relative axis (the xas the block would be accelerating down the x-axis), thus tocalculate acceleration:

Fnet = max
T =max
mgsin = max

and afterwards solve. Just would like to clarify ifthis is how it works in general or just for an inclined planproblem. As an aside, how does the gravitational force fit in withcalculating the net force?

Explanation / Answer

In this case tension in strting is T =0 Let a be the acceleration of the block. From the Newton's second law, we have                F = max                 mg sin - T =  max           So, theacceleration of the block is                               ax= g sin                                   =(9.80 m/s2)sin30o                                  =------ m/s2                                  =------ m/s2

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