If the L-shaped rod has a moment of inertia (I = 9 , ext{kgm}^2), (F_1 = 12 , ext{N}), (F_2 = 27 , ext{N}), and again (F_3 = 0), how long a time (t) would it take for the object to move through (45^circ) (left(frac{pi}{4} , ext{radians}
ight))? Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object.