Look at the in the y-direction
The easiest way to say if Fnet in the y direction is 0 is to ask, “Is there any acceleration in the y-direction?” For most problems, you can intuitively know this. If the problem does not allow the object to accelerate in the y-direction, then the net force in the y direction must be zero.
Examples where the acceleration in the y direction is not zero: freely falling object, object moving down ramps, objects pouncing up and down, pendulums swinging back and forth.
Examples where the acceleration in the y direction is zero: any stationary object, objects moving across a horizontal plains, object falling at terminal velocity, objects moving around a slanted race track where the centripetal force prevents the car from moving sliding on the slanted track.
In the later examples, Fnet in the y-direction is zero.
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