That is simply not possible. While it is possible to render a digital scene at 60fps with any arbitrary shutter speed (e.g. 1/48s the default 180° shutter used in 24fps film productions), it is not possible in real life with a real camera. There are only 48 48ths in each second and you will not be able to start a new frame while you are still capturing the one before it. 60fps limits your availible shutterspeeds to a theoretical maximum of 1/60s or faster. At 24fps you are theoretically limited to 1/24s. In practice there will be a delay between frames so oth numbers will be slightly smaller.

Film or video shot at high framerates will necessarily have to be shot at higher shutter speeds than films shot at a lower fps. This has an obvious visual impact on the image.