Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 62_H

During a jump to his partner, an aerialist is to make a quadruple somersault lasting a time \(t = 1.87\) s. For the first and last quarter-revolution, he is in the extended orientation shown in Fig. 11.33, with rotational inertia \(I_1 = 19.9 \text{ kg} \cdot \text{m}^2\) around his center of mass (the dot). During the rest of the flight he is in a tight tuck, with rotational inertia \(I_2 = 3.93 \text{ kg} \cdot \text{m}^2\). What must be his angular speed \(\omega_2\) around his center of mass during the tuck?