Does a massless string cause a normal force when attached to a wall?

[laser]

Homework Statement

Does a massless string cause a normal force when attached to a wall?

Relevant Equations

F=ma probably

I'm almost certain that if it was a "steel rod" or something heavy like that, the normal (the force written in green) would exist. But does it exist for a "massless ideal string"? I mean, there is tension in the string of course, but would that cause the normal perpendicular to the wall?

 

[kuruman]

At the point of attachment the string exerts tension that is directed along the string and away from the point of attachment (you can't push with a string). This tension has a normal component and a component parallel to the surface. It's not the weight of the string that is the cause of this force but the weight of the ball hanging at the other end of the string that keeps the string taut. If you remove the ball, the string will go limp and exert no force if it is massless.

 

[Lnewqban]

Would the cart shown in the attached diagram remain where represented when "there is tension in the string of course"?