Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 40

40 A disk with a rotational inertia of \(7.00 \text{ kg} \cdot \text{m}^2\) rotates like a merry-go-round while undergoing a variable torque given by \(\tau = (5.00 + 2.00t) \text{ N} \cdot \text{m}\). At time \(t = 1.00 \text{ s}\), its angular momentum is \(5.00 \text{ kg} \cdot \text{m}^2/\text{s}\). What is its angular momentum at \(t = 5.00 \text{ s}\)?