Take Mass m= 12 kg , L= 120 m The uniform bar has a mass m (given below) and length L (givenbelow). It is released from rest at an angle 0 as shown. Themoment of inertia of the rod about the pin point 0 is lo =mL?.Neglect friction at 0.a) Determine the radius of gyration of the rod about the masscenter G.b) Draw the free-body diagram of the rod at the instant shown.c) Write the equations of motion, EF = mäc, EMGEM, = 1,å, at the instant shown, in terms of the coordinatesystem given in the figure. (Do not solve the equations!)d) Determine the angular acceleration of the rod and the support reactions at 0 at the instantwhen 0 = 30°. [Solve the equations in part (c)!]一3Içã, and%3DHint: Up to part (d), do not insert numbers (study parametrically). In part (d), insert numbers anduse åg = do + ở × f6/0 – w²ïG/0to connect the linear and angular quantities.

The uniform bar has a mass m (given below) and length L (given below). It is released from rest at an angle 0 as shown. The moment of inertia of the rod about the pin point 0 is lo =mL?. Neglect friction at 0. a) Determine the radius of gyration of the rod about the mass center G. b) Draw the free-body diagram of the rod at the instant shown. c) Write the equations of motion, EF = mãg, EMG = Içå, and EM, = loå, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) %3D %3D %3D

The uniform bar has a mass m (given below) and length L (given below). It is released from rest at an angle 0 as shown. The moment of inertia of the rod about the pin point 0 is lo =mL?. Neglect friction at 0. a) Determine the radius of gyration of the rod about the mass center G. b) Draw the free-body diagram of the rod at the instant shown. c) Write the equations of motion, EF = mãg, EMG = Içå, and EM, = loå, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) %3D %3D %3D