A mechanical system, comprising: a base structure; an attached component, wherein the attached component is attached to the base structure by an attachment means and is configured to move relative to the base structure, and further wherein the base structure and the attached component define a gap therebetween; and a motion-damping system configured to damp relative motion between the base structure and the attached component, the motion-damping system being separate from the attachment means the motion-damping system comprising: a flexible body that extends within the gap, is in physical contact with the base structure and with the attached component, and defines an enclosed volume; a magnetic assembly; and a ferromagnetic body, wherein: (i) one of the magnetic assembly and the ferromagnetic body is located within the enclosed volume of the flexible body; (ii) the other of the magnetic assembly and the ferromagnetic body is operatively affixed to a selected one of the base structure and the attached component; and (iii) the magnetic assembly and the ferromagnetic body are oriented such that a magnetic force between the magnetic assembly and the ferromagnetic body retains the flexible body in physical contact with the selected one of the base structure and the attached component. a base structure; an attached component, wherein the attached component is attached to the base structure by an attachment means and is configured to move relative to the base structure, and further wherein the base structure and the attached component define a gap therebetween; and a motion-damping system configured to damp relative motion between the base structure and the attached component, the motion-damping system being separate from the attachment means the motion-damping system comprising: a flexible body that extends within the gap, is in physical contact with the base structure and with the attached component, and defines an enclosed volume; a magnetic assembly; and a ferromagnetic body, wherein: (i) one of the magnetic assembly and the ferromagnetic body is located within the enclosed volume of the flexible body; (ii) the other of the magnetic assembly and the ferromagnetic body is operatively affixed to a selected one of the base structure and the attached component; and (iii) the magnetic assembly and the ferromagnetic body are oriented such that a magnetic force between the magnetic assembly and the ferromagnetic body retains the flexible body in physical contact with the selected one of the base structure and the attached component. a flexible body that extends within the gap, is in physical contact with the base structure and with the attached component, and defines an enclosed volume; a magnetic assembly; and a ferromagnetic body, wherein: (i) one of the magnetic assembly and the ferromagnetic body is located within the enclosed volume of the flexible body; (ii) the other of the magnetic assembly and the ferromagnetic body is operatively affixed to a selected one of the base structure and the attached component; and (iii) the magnetic assembly and the ferromagnetic body are oriented such that a magnetic force between the magnetic assembly and the ferromagnetic body retains the flexible body in physical contact with the selected one of the base structure and the attached component. (i) one of the magnetic assembly and the ferromagnetic body is located within the enclosed volume of the flexible body; (ii) the other of the magnetic assembly and the ferromagnetic body is operatively affixed to a selected one of the base structure and the attached component; and (iii) the magnetic assembly and the ferromagnetic body are oriented such that a magnetic force between the magnetic assembly and the ferromagnetic body retains the flexible body in physical contact with the selected one of the base structure and the attached component.