There is a lazy way: You can just create an HTML page in google docs, do something like this:
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| <html> <head> <title>My Game</title> </head> <body bgcolor="#FFFFFF">
<center> <applet code="com.whatever.WhateverYouNamedYourAppletClass" archive="YOURJARFILE.jar" width="YOURWIDTH" height="YOURHEIGHT"> </applet>
</body> </html> |
And if I am not mistaken, you can put an iframe in HTML sections of your tumblr posts.
So in that case, you would use something like this:
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| <iframe src="PUTYOURURLHERE"></iframe> |
Hopefully that helps.