Macbook Pro OSX 10.11.2 random freezing and spinning beachball - possible chrome
The bible for troubleshooting software is:


https://support.apple.com/en-us/HT201516


You might want to jump to making a new user account and seeing if you can reproduce the hang there. If it's a pure incompatibility with google chrome your version and OS X your version, you should be able to replicate it in short order.

Also, keep some sort of log with:


what you change, when you do it, what you're trying to do
when you notice the hangs - date/time to the second if possible


After about 20 or 30 events, you'll start having enough data for a second person to look over things with you and help isolate things.

If you want to collect log files for each hang - you can use sudo sysdiagnose from terminal or use Activity Monitor to diagnose whatever app isn't responding or just use the key shortcut: Shift-Control-Option-Command-Period to trigger the collection. It might take 5 minutes, but that lets you take actionable data to Apple or Google if you can show a repeated hang. It also leaves diagnostic files on the drive so you can review the times with your paper list if needed.

Sorry for the general answer, but this procedure has helped me countless times both as the initial troubleshooter and the "helper" that comes in once some data is recorded.