What is the difference between mode ratio and mode shape?

[mxpxer7]

This isn't a homework question in its entirety, I'm just wondering what the difference is between a Mode ratio and a mode shape? I'm taking a mechanical vibrations course and trying to figure out what the problem is asking for when it wants a mode shape...

 

[OldEngr63]

If the problem involves only two coordinates, then the ratio of those two coordinates at the natural frequency is the mode ratio (as I recall). If there are more than two coordinates involved to define the mode vector, this is called the mode shape.