How Does the Point of Application of a Force Affect an Object's Motion?

[Kakashi24142]

Can someone give me examples of the following two situations and clarify each situation?
-An object is stationary but the point of application of the force moves on the object.
-An object moves in such a way that the point of application of the force remains fixed.
Moreover, what can one say about the work done by the force on the object in each case?

 

[Bobbywhy]

This sure looks like a homework assignment. Is it?

 

[rcgldr]

An object is stationary but the point of application of the force moves on the object.

If an object is stationary, the net force on the object is zero. At a minimum, you'd need a pair of equal but opposing forces to have a force on a stationary object, but the problem statement seems to imply there's only a single force, so it's not clear what the point of the first problem statement is.