A rod (mass mp and length Lp) is pinned at point O and a moveable weight (mass mw and diameter dw) is attached to it as shown. The system is released from rest in the horizontal position (labeled "Initial"), and a sensor (diameter d, and negligible mass) is attached to the top of the rod to measure its angular position. The pendulum rod is mounted flush with the top of the sensor, and the moveable weight is rigidly attached to the pendulum rod as it swings. Obtain an expression for the pendulum's angular speed to when it reaches the bottom of its swing (the vertical position labeled "Final") as a function of the weight's center-of-gravity location, Leg. Initial L cg Final 4.9 @= mp8 (4) +mwgLcg ( mp + m () + 1 m (4) + mus) mw td, W Lp