I still don't get it. If I take a picture with an FF camera and just crop it - then it has no influence on the sensitivity of the lens for movements. Isn't a crop sensor just exactly that: A crop? But no change in optical behaviour?
A 30 mm P&S might have the same frame as a 180mm lens on a FF. But isn't is still a 30mm optical lens with the same optical behaviour? With a 180mm lens you would stand way farther back to frame the same picture then with a 30 mm P&S lense - therefore you won't have the same optical behaviour.
I might just be too dumb - but in my view a 50 mm should always show the same optical behaviour -- independent of the crop I choose to convert into a picture.
As I said in my first answer in the thread:
Camera shake is a twisting of the camera, that makes the projected image smear over multiple pixels on the sensor.
If you twist the camera a fixed angle, the image projected by the 50mm lens will move as much on the sensor if you have a large-format camera, a "full frame", a 1.6x crop-factor camera or even a P&S camera.
But a shift of the image of 0.01 mm on a sensor that is 36mm wide represents 0.027% of the sensor width. If your sensor have 5000 pixels horisontally, it represents a smear of 1.4 pixels.
A shift of the image of 0.01 mm on a sensor that is 22mm wide represents 0.045% of the sensor width. If this sensor also have 5000 pixels horisontally, it represents a smear of 2.3 pixels.
A shift of the image of 0.01 mm on a sensor that is 10mm wide represents 0.1% of the sensor width. If that sensor also have 5000 pixels horisontally, the smear would be 5 pixels.
So as you can see - a fixed amount of camera shake with the same focal length will hurt more for a camera with a smaller sensor. All because the smaller sensor requires a larger magnification to get to the same-size print. So 50mm is a tele lens for a P&S. But it's a wide lens for a large-format camera.
And with a tele lens, a small shake give big fuzz in the image.
While a wide lens allows much bigger camera shake before it hurts the image.
Hence the rule of adjusting the shutter time to the focal length of the lens - and the rule is specifically for a camera with 36x20 mm film. A LF camera with 50mm lens can manage with much larger shutter times while a crop-factor camera requires correspondingly shorter shutter times.
And since the projected smear maps to physical pixels, it does matter how large you view the image or how large you print. The larger you print, or the closer you view the image, the bigger the individual pixels on the sensor will be magnified.
So photos that looks great on the web can have lots of camera shake that isn't visible in a photo that is 1024 pixels on the long side. But that becomes apparent if you make a big print of the image.

