I seem to be having the same problem as many people; the SketchUp Free launch only gives me the throbbing logo, but never launches the app. I’m using the latest version of Chrome on a Windows 10 64-bit gaming laptop with 16G of RAM and an NVIDIA GeForce 660M graphics card. I’ve seen suggestions that it’s lag, but I’ve left the site open for almost 2 hours now with no change.
Even stranger is that if I launch it with Internet Explorer, it runs fine, even though I get the “Whoa there, cowboy” message at the start. (Very nice touch, by the way. 
Nice to see you guys have a sense of humor.)