hi all. i'm trying to make some fixes around my mom's house and came across a problem that i imagine should be rather easy to identify for someone who is smart about this stuff (i.e. not me

)
one of the bathroom sinks upstairs gets essentially no hot water. the shower in the same bathroom gets hot water pretty well, but there's basically none coming from the sink - even when only the hot tap is on for a few minutes, the best i can get from it is something that is only *slightly* warmer than the cold water.
figured i'd just adjust the hot water valve under the sink and call it a day. but the thing is, i'm totally unable to turn the knob on the hot water valve under the sink. it won't turn either way - left or right - at all. it doesn't look rusted, and i even unscrewed the handle to see if there was some sort of blockage, but there doesn't seem to be. can't tell what's going on - basically the knob just won't budge. anyone experience this?