My linksys sometimes stops responding like that. If resetting the router and modem (just by powering off and back on) doesn't work right away, you can force the PC to acquire a new IP by opening a command prompt and typing:
And then:
BTW: When you reset the router by using the reset button, it also resets the router login password to the default when you got it. Hackers can then easily access it and do all kinds of stuff, so either change the password again, or try to avoid doing this. This type of reset also erases any special setup parameters you may have entered.
For instance, in my setup, I have a 4 port wired router/switch, and a 4 port wired router/switch with wireless capability. I daisy chained them to act as one large router/switch. But, only one DHCP server can be running on the same network, so I disabled the DHCP and the router function on the wireless one and just use the wired one as the actual router and DHCP server (because it has a more robust router). I've never had to use the reset button, but if I did, it would wipe all those changes out.
You might also want to check the manufacturer's website for any firmware changes. Maybe they found a bug and have fixed it.