In the following image, we have two objects (I'm not sure whether to call them beams, rods, shafts, or axles) connected by a frictionless joint (I think it's a pinned joint, but not sure).
The blue surface is frictionless.
A constant force, F, is applied at point A, and as the red object rotates around point J, the direction of the force is always perpendicular to the axis of the red object, so there is no component of force that acts along the length of the object (I think another way of saying this is that there is no axial force, but I'm not sure).
Assume that the red and green objects have uniform density, and have equal mass.
My question is this:
Will all the force be expressed as torque around J? Or will some of the force cause the entire contraption to move rightwards along the blue frictionless surface?
My gut tells me that all of it will be expressed as torque, but I can't convince myself why this is the case.