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Two massless rigid rods of length 1, and I are hinged in tandem as shown in Fig. 1. Rod OA is hinged at one

 

Two massless rigid rods of length 1, and I are hinged in tandem as shown in Fig. 1. Rod OA is hinged at one of it ends to the fixed point O while its other end is hinged at point A, where A is one end of the second rod AP. A particle P with mass m is located at the free end of rod AP. Knowing that is the angle between rod OA and the horizontal and that is the angle between rod AP and rod OA, determine (1) the velocity and acceleration of point P as viewed by an observer fixed to the ground. (2) Calculate the velocity and acceleration of point P as viewed by an observer fixed to the ground when 0=6=rad, 0=6=1 rad /s and == Orad/s. (3) the differential equation of motion for the particle. m P 42 4 Fig. 1.

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