I have following HTML with two elements having the same name
Some things before the actual code..
the hash (#) you use as the selector is for IDs and not for names of elements. also the disabled attribute is not a true false scenario .. if it has disabled attribute it means that it is true .. you need to remove the attribute and not set it to false. Also there are the form selectors that identify specific types of items in a form ..
so the code would be
$("input:checkbox[name='chk0']").removeAttr('disabled');
Bringing the answer up-to-date
You should use the .prop() method (added since v1.6)
$("input:checkbox[name='chk0']").prop('disabled', false); // to enable the checkbox
and
$("input:checkbox[name='chk0']").prop('disabled', true); // to disable the checkbox