The 6-kg slender rod in Figure 5.14 is released from rest when \(\theta=60^{\circ}\).

a. Determine the gravitational potential energy of the rod when \(\theta=60^{\circ}\) and \(30^{\circ}\). The datum is shown in Figure 5.14.

b. Determine the kinetic energy and the angular velocity of the rod when \(\theta=30^{\circ}\). The mass moment of inertia of the slender rod about the fixed point \(\mathrm{O}\) is \(I_{\mathrm{O}}=m \mathrm{~L}^{2} / 3\), where \(L\) is the length of the rod.

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1 m FIGURE 5.14 Problem 4. datum