Eclipse – New Eclipse workspace in working copy folder does not recognize existing projects from subversion

I have an Eclipse workspace set up on one of my two work machines. The entire workspace is synched with a subversion repository and all projects and settings (including metadata) within the workspace are stored in the repository.

I recently installed Eclipse on my second machine and created a new working copy folder that I check out to the same repository. When I opened Eclipse and set the workspace to the local working copy folder, none of the project appeared in my package explorer.

I am still new to Eclipse and Subversion, but I would assume that as long as the workspace metadata and settings are in the working copy folder Eclipse should see them.

How do I create an exact duplicate of the original workspace on the second machine and keep the two in sync with Subversion?

Thanks in advance for your suggestions.

UPDATE: Apparently the answer provided by @Kos is the only way I have found to recreate a copy of the workspace in another working copy. Even though my .metadata folder is under version control as well, when I checkout a new working copy Eclipse does not recognize the checked out .metadata folder.