The mirror is released when the second shutter curtain strikes a lever. If the curtain has lost tension over time(they do) it may not have enough oomph to kick it through.The adjustment is under the bottom cover, There are two ratchets one toward the front of the camera, one to the rear. These are the tension adjustments, as I recall the one to the rear is the closing curtain. If you try this, adjust it one or two clicks at a time.
This assumes the mirror isn't sticking to the foam