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Proposed Path:

Click the figure below to see animation.


Mobility:

M = 3*(L-1) - 2*J1 -J2 where L = 5, J1 = 5, J2 = 0

M = 3*(5-1) - 2*5 - 0 = 2 

There Therefore we have 2 degrees of freedom


Position Analysis:


[insert labeled diagram]Image Added 

Add analysis explanation

Add position vs theta graph


Velocity Analysis:

[insert labeled diagram]

Add analysis explanation

Add velocity vs theta graph

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Let's start off with our Vector Loop:

image-2023-5-1_22-37-41.pngImage Added

We performed a velocity analysis to determine what the velocity at point B is. From the vector loop above we solved for omega 3 and omega 4 values. From the newly calculated angular velocities around each point we then solved for the velocities of link 2, 


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Initial Physical Prototype:

Here is our first prototype of our mechanism. Although the gears are not grounded in the picture, we were able to create the proposed path from above. Laser-cut gears and links and used M3 nuts and bolts to bring together the prototype. We do plan to do multiple iterations in the coming weeks to test out different link lengths and find a ratio that gives us a larger surface area. A thought we have is to add a rack and allow the gears to move back and forth along it. This would increase the surface area and give us a greater challenge regarding our mechanical components.