Considering the setup in Figure 2, please use Eqs. (3)–(5) to show that
1. The torque exerted on the rotating object is
τ = m_hr (g − α r).
2. The total kinetic energy of the system is
K_total = 1/2 (I + m_hr^2) ω^2
In this lab, we will use these relations to compute key quantities from the measurements. For example, we will use the measured m_h, r, and α to compute the torque τ, and then the moment of inertia as I = τ/α.