Springle,
I suspect it all comes down to the tried and true rule of thumb in the non IS/VR days of using at least 1/(effective focal length) shutter speed to ensure camera shake does not result in a blurry image.
Like binoculars when viewing through a lense with a higher magnification any shake is amplified more or less linearly (not the square of the distance as one might suppose) with the distance to the object due to the progressively more narrow field of view of Telephoto lenses as the focal length increases.
A smaller sensor results in a narrower field of view as the image sensor gets less of the image circle of the lens. Likewise a teleconverter increases the focal length.
The shake is an angular momentum perpendicular to the axis of the lens. If you draw it out this angular momentum is a right-angle triangle with the long axis along the focal point and the short axis in the plane of focus. The longer the effective distance the faster shutter speed required as the effective length along the plane of focus increases.
I suspect it all comes down to the tried and true rule of thumb in the non IS/VR days of using at least 1/(effective focal length) shutter speed to ensure camera shake does not result in a blurry image.
Like binoculars when viewing through a lense with a higher magnification any shake is amplified more or less linearly (not the square of the distance as one might suppose) with the distance to the object due to the progressively more narrow field of view of Telephoto lenses as the focal length increases.
A smaller sensor results in a narrower field of view as the image sensor gets less of the image circle of the lens. Likewise a teleconverter increases the focal length.
The shake is an angular momentum perpendicular to the axis of the lens. If you draw it out this angular momentum is a right-angle triangle with the long axis along the focal point and the short axis in the plane of focus. The longer the effective distance the faster shutter speed required as the effective length along the plane of focus increases.