The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is0.470kg and its length is1.90m. When the rod is released from its horizontal position, it swings down to the vertical position as shown.

(a)(a) Determine the speed of its center of gravity at its lowest position in m/s. Consider the conservation of energy of the center of mass of the rod. What is the relationship between angular and tangential velocities?m/s

(b)When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s. m/s