Problem 3: (14 pts) Designing cams Upon graduation, you have been hired by Anheuser-Busch of St....

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Problem 3: (14 pts) Designing cams Upon graduation, you have been hired by Anheuser-Busch of St. Louis, Missouri. Your task is to design a "fun" beer mug delivery system for their bar. This motion of the tray will be driven by a cam-follower design. A tray attached to a follower will: (a) wait under the tap for 5 seconds, long enough to fill the mug, (b) move away from the tap and travel along (rise) the counter by 15" in 10 seconds, moving slowly, to not spill the precious liquid (c) dwells for only 1 second at the end of the counter, where thirsty patrons have to quickly grab their mug. (d) returns (fall) "quickly" to the tap in 4 seconds, since it no longer has a drink to balance. Repeat. The motor driving the cam has a constant velocity of w = 3 rpm (or 360/20 sec). Do not be concerned about the mechanisms used to place or fill the mug, this is the responsibility of a bar tender. Cam goes here 15" 3.1 (2 points) What type of follower is appropriate here, (a) Rotating, (b) Translating? Briefly explain your rationale. 3.2 (2 points) Sketch an example of what the cam-follower mechanism might look like. Label the mechanism with the expressions dwell, rise, fall to indicate which parts of the mechanism correspond with what motion. Quantitative values and exact angles are not needed here. 3.3 (5 pts) Write out a piecewise equation for s, v, a, j over one entire cycle. Make sure the equations match the boundary conditions given in the motion design. Assume a cycloidal for the rise and fall components. You can use time or degrees for your x-axis parameter. That is, for example, s = f(t) f(0). or s = 3.4 (5 pts) plot the s, v, a, j curves for the full motion of one cycle assuming cycloidal motion derived in part c. Plots must include values on the y axis for all four parameters in each piece of the motion. You can use time or degrees for your x-axis parameter. Problem 3: (14 pts) Designing cams Upon graduation, you have been hired by Anheuser-Busch of St. Louis, Missouri. Your task is to design a "fun" beer mug delivery system for their bar. This motion of the tray will be driven by a cam-follower design. A tray attached to a follower will: (a) wait under the tap for 5 seconds, long enough to fill the mug, (b) move away from the tap and travel along (rise) the counter by 15" in 10 seconds, moving slowly, to not spill the precious liquid (c) dwells for only 1 second at the end of the counter, where thirsty patrons have to quickly grab their mug. (d) returns (fall) "quickly" to the tap in 4 seconds, since it no longer has a drink to balance. Repeat. The motor driving the cam has a constant velocity of w = 3 rpm (or 360/20 sec). Do not be concerned about the mechanisms used to place or fill the mug, this is the responsibility of a bar tender. Cam goes here 15" 3.1 (2 points) What type of follower is appropriate here, (a) Rotating, (b) Translating? Briefly explain your rationale. 3.2 (2 points) Sketch an example of what the cam-follower mechanism might look like. Label the mechanism with the expressions dwell, rise, fall to indicate which parts of the mechanism correspond with what motion. Quantitative values and exact angles are not needed here. 3.3 (5 pts) Write out a piecewise equation for s, v, a, j over one entire cycle. Make sure the equations match the boundary conditions given in the motion design. Assume a cycloidal for the rise and fall components. You can use time or degrees for your x-axis parameter. That is, for example, s = f(t) f(0). or s = 3.4 (5 pts) plot the s, v, a, j curves for the full motion of one cycle assuming cycloidal motion derived in part c. Plots must include values on the y axis for all four parameters in each piece of the motion. You can use time or degrees for your x-axis parameter.