The following figure shows an inverted slider crank mechanism. The collar rotate
ID: 1843344 • Letter: T
Question
The following figure shows an inverted slider crank mechanism. The collar rotates about B and AP slides relative to the collar. The distance between points O and B, the length of the crank, and the length of AP are given by r_1 = 1.732", r_2 = 1", and r_AP = 3", respectively. The crank rotates at a constant angular velocity omega_2 = 2 rad/s CCW. identify proper dependent variables and write a loop closure equation suitable for determining the motion of AP, determine the position of AP by solving for the dependent variables, determine the angular velocity and angular acceleration of AP, calculate the angular velocity and angular acceleration of AP for the case where link AO is vertical with A being just above point O. Verify your result by comparing with that from the relative motion analysis, Based on the result from (iii), first derive the general formula for the velocity and acceleration of point P, in terms of angular velocity and angular acceleration of AP (and the input), and then calculate the velocity and acceleration of P for the case where link AO is vertical with A being just above point O.Explanation / Answer
Two different configurations of inverted slider crank mechanism . In general link 2 is the input and link 4 is the output . The prismatic pair is in between the links 3 and 4. The two inverted slide crank mechanism shown have the same input - output motion characteristics .howeve their force transmission characteristice are different. For the configuration , transmission angle is shown minimum and maximum values of the transmiisons angle for this type of inverted slider crank mechanism is when the crank and the fixed links are collinear as shown In case of a mechanism shown in B , there is moment transmission between links 3 and 4 rather than force transmission and the definition for the transmission angle given
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