In a Khan Academy video about centripetal force calculations: here, the presenter explains
If a force doesn't point radially inwards or outwards you don't include it in the calculation
I perfectly get that for the case given when gravity has no component in the radial direction, but what if the weight force DID have a component radially?
Sorry for the crappy image [this is a vertical circle], but you can see that this weight force can be decomposed to have a radial component. So question is, do we include this part in calculations? Additionally, shouldn't the centripetal force be the net force acting on an object?