In a judo hip throw, you pull your \(60-\mathrm{kg}\) opponent onto your back to bring her center of mass just above your hip and then rotate her about your hip. Assume that the lever arm distance of your grip on her is \(0.30 \mathrm{~m}\) from your hip and that her rotational inertia about your hip is \(15 \mathrm{~kg} \cdot \mathrm{m}^{2}\).

(a) What is the magnitude of the pulling force you must exert on her to cause a rotational acceleration of \(1.0 \mathrm{~s}^{-2}\) ?

(b) What is the magnitude of the pulling force if you throw her from a more upright position, so that the gravitational force has a lever arm of \(0.12 \mathrm{~m}\) about your hip?