1) One of the 39 Avot Melachot (prototype prohibited activity) is ''Melaben'' - ''bleaching''. Any activity which involves removing dirt which is somewhat absorbed into a fabric, might be considered ''Laundering'' - ''Kibus''- which is prohibited as a derivative (Toldah) of ''Bleaching''. Wringing out a garment which has been washed is considered part of the laundering process; therefore, it is forbidden to wring water out of any fabric into which it has been absorbed. This prohibition is called ''Sechitah'' ( but shouldn't be confused with the prohibition against squeezing the juice from fruit, which is also called ''Sechitah'', but is a derivative of a different Av Melacha ''Threshing'' - ''Dosh'').

1) This Rabbinical prohibition against using certain types of cloth to wipe up spills, only applies if there is reasonable concern that one will have a desire to wring out the cloth; therefore it does not apply to towels, rags or paper towels which people generally don't mind leaving saturated. Furthermore, if the spilled liquid will make the cloth dirty enough to warrant washing (such as colored juice or filthy water), then one may wipe it up even with a cloth that one values.

אם נשפך מים על השלחן וכדומה אסור לקנחו בבגד שהוא מקפיד עליו דכיון דאיכא מים מרובים חיישינן שמא יסחוט וכן לא ינגב במפה כוסות או שאר כלי שפיהן צר דמחמת דוחקן נסחט המשקה

1) It is Rabbinically forbidden to perform any act which gives the impression that one is doing or has done something prohibited; this prohibition is called ''Marit Ayin'' (lit: ''perception of the eye''). Therefore, it is prohibited to hang up wet clothing in a way that might mislead others into thinking that they have been laundered on Shabbat (laundering is prohibited on Shabbat). It's permitted to hang wet clothing in areas not specifically used for hanging freshly laundered garments. It's also permitted to hang up wet clothing that is visibly dirty. According to some, the prohibition doesn't apply to garments which are usually dry-cleaned, like suits and coats, because no one would suspect that they were washed in water. 2) Heating the water absorbed in the clothes to a temperature of ''Yad Soledet'' (about 110 degrees (F)) would be a violation of both the prohibition of ''Cooking'' - ''Bishul'' - and ''Bleaching'' - ''Melaben'' - as the hot water purges the fabric of dirt. The Sages therefore prohibited leaving wet clothing near a source of heat even for a moment, lest one forgets it there (the same would apply to leaving uncooked food near a fire). 3) Shaking the water out of wet clothing is similar to wringing it out.