Link AB has an angular velocity of 5 rad/s and an angular acceleration of 12 rad

Question

Link AB has an angular velocity of 5 rad/s and an angular acceleration of 12 rad/s^2 (both clockwise) at the instant as shown. Determine the angular velocity and the angular acceleration of link CD, and the velocity of slider C relative to link AB and the acceleration of the slider C relative to link AB at this instant. Use the Cartesian Vector Approach. The 100 kg beam BD shown is supported by 2 rods having negligible mass. Consider the instant when theta = 0 degree instead of 30 degree. Determine the force created in each rod and the acceleration of the center of mass of beam BD at theta = 0 degree if both rods are rotating with an

Explanation / Answer

angular velocity of link CD = 5 * (2 + 1*cos60)/2

                                            =    6.25   rad/sec

angular acceleration of link CD = 12 * (2 + 1*cos60)/2

                                            =   15 rad/sec2

velocity of slider C   = 6.25 * 2 * sin60

                                  =   10.825 ft/sec

acceleration of slider C   =   15 * 2 * sin60

                                        =    26 ft/sec2

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