A tape moves over the two drums shown. Drum A weighs 1.4 lb and has a radius of gyration of 0.75 in., while drum B weighs 3.5 lb and has a radius of gyration of 1.25 in. In the lower portion of the tape the tension is constant and equal to TA =0.75 lb. Knowing that the tape is initially at rest, determine
(a) the required constant tension TB if the velocity of the tape is to be ω = 10 ft/s after 0.24 s,
(b) the corresponding tension in the portion of the tape between the drums.