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WM Assignment 3

# WM Assignment 3 - Anil Kanungo ME324 Fri 2pm Working Model...

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Anil Kanungo ME324 – Fri 2pm 11/7/08 Working Model Assignment #3 The task for this working model assignment involved modeling a four-bar linkage with a constant angular velocity at one point. This was primarily to illustrate (as we will see later) that there is only one degree of freedom for systems such as this one. The initial design of the model required there to be NO friction at the pin joints on the bars, for the system to be in a gravitational field (set at Earth’s 9.81 m/s 2 ), and for there to be three bars of lengths: 1.2, 0.6, and 0.6 meters arranged as shown below: The ground in this system would be considered as the fourth bar and the bar AB is oriented at 30 o while the other two 0.6 meter bars are arranged orthogonally. After setting up the linkages and pinning the joints as above, a motor was placed at joint D which was set to give bar CD a counter-clockwise angular velocity of 0.6 rad/s. The pause control was set at 4 seconds as well in order to observe the motion of the mechanism all the way through and up until this point. This position is shown below: Page 1

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Anil Kanungo ME324 – Fri 2pm 11/7/08 In order to trace the coupler curve , we plotted the motion of the center of mass of bar BC in a y-position vs. x-position plot. This can be seen in the upper right plot above. In order to plot the angular velocity of bar AB about its instantaneous center of rotation, we simply plotted the angular velocity of bar AB. Since its center of rotation was solely around joint A, the IC would never move and the plot would look something like the bottom left plot from above. The angle
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