An x-ray collimator for collimating an x-ray beam is constructed of a rotatable mandrel with a series of longitudinal slots of varying widths. The width of the collimated beam may be controlled by rotating the mandrel so that the correct slot lines up with the uncollimated x-ray beam. The angle of the beam may also be corrected by smaller angular rotations of the mandrel to offset the exit aperture of the slot. The entrance aperture of each slot is larger than the exit aperture so that such centerline adjustments do not affect the x-ray fan beam width. A very low backlash brake holds the mandrel against perturbing torques when collimator is in position. The brake includes a friction element and a means of reducing the torque of the positioning motor to reduce the effect of such perturbing torques.