Notice in this step we have indicated that the torque (in the z-direction) should be negative - that's because we declared that the angular velocity \(\omega_i\) was positive, so if the object is goin...Notice in this step we have indicated that the torque (in the z-direction) should be negative - that's because we declared that the angular velocity \(\omega_i\) was positive, so if the object is going to loose momentum, the torque has to be negative.