【Hang】 ,  【suspend】 ,  【sling】 ,  【dangle】  mean to place or be placed so as to be supported at one point or on one side, usually a point or side at the top.

【Hang】 typically implies a fastening to an elevated point or line so as to allow motion to what falls from such a point or line.

In extended use  【hang】 often implies a position or a relation suggestive of hanging, such as that of something poised or seemingly poised in the air or of one thing dependent upon another or of something clinging or adhering to something else.

【Suspend】  is preferred to  【hang】  (or hung ) when support from a point above suggests flexibility, free motion or movement, or a display of skill.

【Suspend】  is also employed more often than  【hang】  when a floating in a fluid (as air or water) is suggested (see SUSPENDED ).

【Sling】  basically implies the use of a 【sling】 for hoisting or lowering heavy or bulky articles with ease. Sometimes the term implies a hanging over the shoulder, or arm, or similar support (as for ease in carrying) <slung a basket on her arm>  < 【sling】  a scaffold from a roof>

【Dangle】 implies a hanging loosely in such a manner as to swing or sway or twist to and fro.

In extended use  【dangle】 usually implies dependence on someone, often a loose dependence or connection, in hope of a reward for attentions or services.