Kbne,
One suggestion would be to do a hard restart of your iPad. Before doing that, however, I suggest that you close all of your recently used apps (by tapping the minus sign on all of the apps in your multitasking bar).
Then, for the hard restart, you will need to hold down both the top Sleep/Wake button and the Home button until you see the Apple logo and the screen goes dark. This will take a few seconds. In the meantime, ignore the "slide to power off" prompt if you see it—just keep holding those buttons down until you see the Apple logo. Then launch Machinarium and see if it works. Amanita Design's programmer, David Oliva, once mentioned on Amanita's blog:
"Resetting the system [by performing a hard restart] helps to clear memory leaks which can be in the system itself or other apps. It does not have to be problem with the Machinarium. The game is just huge and requires the memory which may be unavailable."
If that doesn't work I would encourage you to contact the developers and let them know about the issue. You can use the form at the bottom of this page:
http://amanita-design.net/contact.html