DO ONLY (b) AND (c) # A solid iron cylinder is thrown into the air such that it rotates about its center of mass with virtually no external torque. The cylinder is 19.0 cm long with a diameter of 8.0 cm. Its total mass is 7.50 kg. The cylinder wobbles such that its symmetry axis makes a constant angle of 57 with respect to a fixed direction (presumably the direction of ) . a)What is the angle betweenand the symmetry axis of this cylinder ? b)If the magnitude ofis 9.00 rad/s, how fast is precessing about the symmetry axis of the cylinder (in the cylinder's frame of reference)?b)If the magnitude ofis 9.00 rad/s, how fast is precessing about the symmetry axis of the cylinder (in the cylinder's frame of reference)? c)What is theperiodof the wobble of the symmetry axis about the invariable line? # DO ONLY (b) AND (c) #