Let's jump right into getting this hammered out. Since you have your "main" computer connected through a Wired Connection, this will be where you want to check out the configuration of your router.
On the Wired Computer, open a browser and type: "
http://192.168.1.1 " into the address bar and hit enter.
You will be prompted for a username and password, the default are "admin" for the username and nothing for the password. Click the "OK" button to sign-in to the router.
In the menu across the top, click the "Settings" option to open the settings page.
You should see that the IP Address, Subnet Mask and Default Gateway address are not zeros.
Now we can check the configuration of your Wireless network. Click the "Wireless" menu option.
Your Security Mode configuration should be "WPA2 Personal" or "WPA2/WPA Mixed Mode", and there should be a textbox labeled Passphrase. Click the "Generate" button to populate the Key 1-4 fields. The passphrase will be used as the pass-key required to gain access to the network from your secondary computer.
You should also see a field, Network Name/SSID... remember this name (don't use spaces because some wireless devices will not connect to SSIDs with spaces in the name).
Make sure that the SSID Broadcast is Enabled.
If you have made changes, save them.
From your second computer, go into Networks and either Show Available Networks, or Connect to a Wireless Network.. depending on which version of Windows you are running.
You should see the Network Name/SSID show up in the available networks. Select your SSID and Connect. You will be prompted for the passphrase that you entered previously. Have it remember the connection and automatically reconnect when in range.
That should get you connected.