Torques without Rotation: the Right-Angle Lever
  An extended body subject to external forces which exert zero net force and zero total torque in the rest frame, may experience a nonzero torque in another inertial frame, and nonetheless does not rotate. Long known as the Trouton-Noble or right-angle lever paradox, there has been extensive discussion and indeed controversy, but a clear understanding comes from a suitable treatment of angular momentum and simultaneity. 
Joel A. Shapiro
physics.class-ph gr-qc physics.pop-ph