An advertising panel of mass AM (shown in figure below), length 2a and width 26 (having...

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An advertising panel of mass AM (shown in figure below), length 2a and width 26 (having negligible thickness) is kept rotating at a constant rate w about its horizontal axis by a small electric motor attached at A to frame ACB. The frame itself is kept rotating at a constant rate w about a vertical axis by a second motor attached at C to the column CD. Assume the support at D to be part of an inertial frame, e.g., ground. Further assume that the frame ACB, the motors and column CD are all massless. Also neglect gravity. Express all the quantities (asked below) in the xyz coordinate system which is fixed to frame ACB as shown in figure. (a) Write down the expression of angular momentum of the advertising panel about point 'G' w.r.t to the inertial frame. (4 points) (b) Write down the expression of rate of change of angular momentum (obtained in (a)) relative to both the frame ACB as well as the inertial frame. (c) Express in terms of angle 0 the dynamic reaction force and reaction moment (if any) exerted on column CD by the support at D. (6 points) (5 points) C Figure of Problem 3 An advertising panel of mass AM (shown in figure below), length 2a and width 26 (having negligible thickness) is kept rotating at a constant rate w about its horizontal axis by a small electric motor attached at A to frame ACB. The frame itself is kept rotating at a constant rate w about a vertical axis by a second motor attached at C to the column CD. Assume the support at D to be part of an inertial frame, e.g., ground. Further assume that the frame ACB, the motors and column CD are all massless. Also neglect gravity. Express all the quantities (asked below) in the xyz coordinate system which is fixed to frame ACB as shown in figure. (a) Write down the expression of angular momentum of the advertising panel about point 'G' w.r.t to the inertial frame. (4 points) (b) Write down the expression of rate of change of angular momentum (obtained in (a)) relative to both the frame ACB as well as the inertial frame. (c) Express in terms of angle 0 the dynamic reaction force and reaction moment (if any) exerted on column CD by the support at D. (6 points) (5 points) C Figure of Problem 3

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