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Question: a bar is pinned at point o and a moveable...

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A bar is pinned at point O and a moveable mass is attached to it as shown. The system is released from rest in the horizontal position and a sensor is attached to the top of the bar to measure its angular position. The system has the following nominal parameter values: mp = pendulum mass = 68.5 g, mw = moveable weight = 88 g ,Lp = pendulum length = 43.2 cm, ds = Sensor diameter = 2.5 cm, dw = moveable weight diameter = 5 cm. Assuming the pendulum rod is mounted flush with the top of the sensor, and moveable weight is not moved lower than flush with bottom edge of pendulum rod, we would observe that. Lcg_min = minimum location for moveable mass = (ds+dw)/2 Lcg_max = maximum location for moveable mass = Lp - (ds+dw)/2 L_cg_pendulum =location of the pendulum center of gravity=(Lp-ds)/2 Determine: a) Plot the angular velocity of the pendulum when it is vertical as a function of the location of the moveable mass. b) Determine the location, Lcg, that will maximize the angular velocity when the bar is vertical. Problem 4.9 A bar is pinned at point O and a moveable mass is attached to it as shown. The system is released from rest in the horizontal position and a sensor is attached to the top of the bar to measure its angular position. The system has the following nominal parameter values mp pendulum mass 68.5 g mw moveable weight -88 g Lp-pendulum length 43.2 cnm ds Sensor diameter 2.5 cm dw moveable weight diameter 5 cm Assuming the pendulum rod is mounted flush with the top of the sensor, and moveable weight is not moved lower than flush with bottom edge of pendulum rod, we would observe that. Lcg minminimum location for moveable mass- (ds+dw)/2 Lcg max maximum location for moveable mass-Lp (ds+dw)/2 L cg pendulum-location of the pendulum center of gravity (Lp-ds)/2 Determine: a) Plot the angular velocity of the pendulum when it is vertical as a function of the location of the moveable mass b) Determine the location, Lcg, that will maximize the angular velocity when the bar is vertical Initial 6 Final

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