I was reviewing some basic concepts in physics. I was reading a concept that says “the force needed to push/pull an object on an inclined plane (suppose friction is zero) is $$F= m\,g\,\sin(\theta)$$ My question is, if we exert the force on that object with that amount of force, wouldn’t we end up preventing the object from sliding down rather than move the object up?
Because the forces would cancel each other out and thus, no motion is made. Shouldn't the force required to move the object upwards be greater? I am thinking the force should be $F_p = m\,a + m\,g\sin(\theta)$.