For NTSC video (In the US) and also PAL video (I think) there are actually two complete sweeps required to get the whole image. Although one sweep takes 1/60th sec (for NTSC), that only paints every other line on the screen--the odd-numbered lines, if you will. The next sweep paints the even-numbered lines.
Set your shutter speed to 1/30th sec. As Helen B says, you might want to set it for longer, (in factors of 1/30... ie, 1/15, 1/10 etc); however, this will expose several video frames, giving you essentially a multiple exposure. Not a problem if the image on the screen is fixed, but for action scenes, it effectively gives you incremental motion blur.