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correct jquery syntax on the each of the selector for checking class

I am trying to check for a class if it not exists then do some work, else skip it over
$.each($(":not textarea.hasClass('encypted')", "#"+formID),function(k){
do the code part
});
what i am doing here is to check if the textarea does not have a class encypted and only then go inside and do its work, if it has that class, just skip the entire code part

You can use :not() to directly select the textareas which do not have the given class:
$(`#${formID} textarea:not(.encrypted)`).each(function() {
// your code here...
});

Using jQuery, how to specify with the `.attr` method, the second of two html classes?

When using jQuery and are using the .attr method as follows:
$(document).ready(function(){
$('.class1').click(function(){
id = $(this).attr('.class2');
});
});
Say I have the following HTML for the above function:
<div class="class1 $class2"></div>
The second class is attributed at runtime, so I have 10 divs, each with class1, but several with class2. Then I wish to use the jQuery function at the top, so that whenever I click on any of the divs, it applies the specific class2 of that div, to the variable ID.
I hope this makes more sense.

Since your class2 comes from your PHP code, you seem to hit the usecase of data-attributes.
With data-attributes you can easily have some extra data (often used for javascript purposes) on your HTML elements without having to use special classes or ids for that.
It works like that:
<span data-hero="batman">I'm a Bat!</span>
Where in your Javascript (using jQuery) you get the value of it by simply doing:
$('span').data('hero');
Refer to the MDN and the jQuery documentation for further information.

Is this what you're trying to do?
$(document).ready(function(){
$('.class1').click(function(){
var id = $(this).attr('class').replace('class1','').trim();
});
});

If you have a multi class tag this mean the HTML code would be like this:
<sometag class="class1 class2">...</sometag>
I think the simplest approach is to do some string operations on the class attribute of the tag:
var class2 = $(selector).attr("class").split(" ")[1];
OR you can write a simple jQuery plugin to do the work for you:
(function($){
$.fn.secondClass = function(){
var c = this.attr("class").split(" ");
if(c.length >= 2)
return c[1];
};
}(jQuery))
Usage: var class2 = $(selector).secondClass();
Hope this helps.

jQuery selector on multiple classes

This finds the id but does not remove the class
$('[id^=paritalIDname]').removeClass('[class^=partialClassName]');
Probably because the element looks like
<div id="partialIDname-full" class="something someone partialClassNameFull">
Whether the element has a class name of partialClassNameFull or partialClassNameHalf I need to remove it.
I thought I could use a wildcard in the class selector, like
removeClass('[class^=partialClassName*]');
but that's not working.
What is a good solution? (Thanks.)

This will handle all partial match.
$("div[id^=partialId]").each(function () {
var cls = $(this).attr("class").split(" ");
for (var i in cls) {
if (/partialClass/.test(cls[i])) {
$(this).removeClass(cls[i]);
break;
}
}
});

You need to explicitly remove both classes:
$('[id^=partialIDname]').removeClass('partialClassNameFull').removeClass('partialClassNameHalf');
Because .removeClass() only works on full class name matches. If one of the class names is not present, then nothing will happen - no error is thrown when you try to .removeClass() a class that is not present.
You can also try out as suggested in the comments the briefer version of:
$('[id^=partialIDname]').removeClass('partialClassNameFull partialClassNameHalf');

Using javascript to set an HTML class name

Is it possible to put a javascript function call in place of a HTML class name so that the class can be set based upon the results of the function? For example, something like:
<a class="fSetClass(vName)" ....
which would call a function named fSetClass() and receive back a valid CSS class name based upon the parameter vName passed with it.
Thanks

No, it's not possible to do what you're asking from within the HTML. Though, you can use JavaScript to add the class to it afterward.

Smth like this, if in short way
document.onload = function(){
document.getElementById('your-element-id').className = fSetClass(vname);
}

No but what you can do is use jquery to get the item and then add or remove class names from it:
HTML
<div class="my-class">My Content</div>
jQuery
// will produce <div class="my-class added-class">My Content</div>
var addClass = 1;
if(addClass == 1) {
$(".my-class").addClass("added-class");
}
else
{
$(".my-class").removeClass("removed-class");
}

Only the on* event handler attributes are evaluated as JavaScript code, the other attributes are not.
As already said, you have to assign the class normally with JavaScript. Assuming you have a reference to the element (element), you have to assign the class to the className [MDN] property:
element.className = fSetClass(vname);

If you use jquery, you can set the class by using .attr():
$(document).ready(function() {
function fSetClass(vName){
$("#element_id").attr('class', vName);
}
fSetClass('className');
});

If you use jQuery, you can use the addClass function
$(element).addClass('add-this-class');
If you want to set the class instead, use attr:
$(element).attr('class','add-this-class');

How to execute partial find on dynamic HTML5 data descriptor?

I have a series of images tagged with HTML5 data descriptor "data-type2=[x]" where x is a number of different elements.
e.g.
<img data-type2="pants" class="element" src="#>
I am trying to pass that data field into a jquery function that finds classes in another div (<div class="outfit-list") that has child divs tagged with classes such as:
<div class="pants-001">
<div class="pants-002">
<div class="shoes-001">
etc.
Here is where I am stumped: how do I write a jquery function that accesses data type2 from the item I click (e.g. data-type2="pants"), finds all other divs under .outfit-list with classes that have, for example, "pants" in their class name "pants-002", and hide them? The function I have below does not work - I suspect that's because it's looking for the full name and not partial.
How do I make it perform a partial search to locate the classes that contain the term from data-type2?
<script type="text/javascript">
$(document).ready(function(){
$('.thumbslist .element').click(function(){
$('.outfit-list').find('.'+$(this).data('type2')).hide();
});
});
</script>

You can use the attribute contains selector, [attribute*="value"].
$('.outfit-list').find('[class*="' + $(this).data('type2') + '"]').hide();

You can use the starts with selector. Something like
$(".thumbslist .element").click(function() {
var type2 = $(this).data("type2");
$(".outfit-list").find("div[class^=" + type2 + "]").hide();
});

This plugin adds support for data selectors: http://plugins.jquery.com/project/dataSelector

First of all, the jQuery .data() method is amazing: http://api.jquery.com/data/
You could do:
$("#img1").data('type', 'pants')
// Or whatever else you need to attach data to. You can do this dynamically too!
t = $("#img1").data('type')
// Recall that data at some point
$("div").each(function() {
pat = new RegExp(t)
if ($(this).attr('class').search(pat) !== -1) {
$(this).hide()
}
});
Or even better in Coffeescript
t = $("#img1").data 'type'
$("div").each ->
if ($(#).attr('class').search new RegExp t) isnt -1 then $(#).hide()

May be with something like in this other question
jQuery selector regular expressions

You could just grab the value of the attribute then use it in an attribute selector: http://jsfiddle.net/n73fC/1/