How to calculate the speed of this umbrella extension arm?

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SUMMARY

This discussion focuses on calculating the speed of an umbrella extension arm for a university project, specifically determining the linear velocity of point B in relation to point A. Participants emphasize the importance of finding the instantaneous center of rotation (ICR) and suggest using geometry, trigonometry, and calculus to derive the motion vector for point B. The use of Python for formula implementation and SolidWorks for path comparison is also highlighted as part of the analysis process. Key resources provided include links to Wikipedia articles on linkages and instantaneous centers of rotation.

PREREQUISITES
  • Understanding of instantaneous center of rotation (ICR)
  • Basic knowledge of geometry and trigonometry
  • Familiarity with calculus concepts
  • Experience with Python programming and SolidWorks for modeling
NEXT STEPS
  • Research the principles of instantaneous centers of rotation in mechanical systems
  • Learn how to apply geometry and trigonometry to motion analysis
  • Explore calculus applications in deriving motion vectors
  • Investigate Python libraries for mathematical modeling and SolidWorks simulation techniques
USEFUL FOR

Mechanical engineering students, project teams working on kinematic analysis, and anyone involved in the design and simulation of mechanical systems.

Throwtex
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TL;DR Summary: Have a university project where we are calculating the speed of the arm at the end.

I need some help on where to start on the calculations. We have tried to determine instantaneous center of rotation for the device. We want to find the linear velocioty of point B. There is a velocity in point A, working vertically. Alle sizes are unknown.
 

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Throwtex said:
TL;DR Summary: Have a university project where we are calculating the speed of the arm at the end.

I need some help on where to start on the calculations. We have tried to determine instantaneous center of rotation for the device.
Given that amount of totally non-specific information, the answer is "probably".
 
phinds said:
Given that amount of totally non-specific information, the answer is "probably".
Sorry, updated the posted with more information.
 
Throwtex said:
Sorry, updated the posted with more information.
I still see exactly what you originally posted. Are you trolling us?
 
phinds said:
I still see exactly what you originally posted. Are you trolling us?
No. I attached a pricture of a drawing of the system as well?
 
How did you "try to" determine the IC at the instant shown if all dimensions are unknown?
 
Throwtex said:
No. I attached a pricture of a drawing of the system as well?
OK, I see it now.
Throwtex said:
TL;DR Summary: Have a university project where we are calculating the speed of the arm at the end.

We have tried to determine instantaneous center of rotation for the device. We want to find the linear velocioty of point B
I get that you want the upwards (sort of) velocity of point B but what's this about finding the instantaneous center of rotation? Do you mean the center of rotation for point B? Are you trying to find both?At any rate, you'll need to use some geometry/trig/algebra to get an equation for the motion of B relative to V. That will should give you the motion vector for point B. I can't tell for sure by just looking but some calculus may be required as well.
 
phinds said:
OK, I see it now.

I get that you want the upwards (sort of) velocity of point B but what's this about finding the instantaneous center of rotation? Do you mean the center of rotation for point B? Are you trying to find both?At any rate, you'll need to use some geometry/trig/algebra to get an equation for the motion of B relative to V. That will should give you the motion vector for point B. I can't tell for sure by just looking but some calculus may be required as well.
We did try to do it with trig and calculus, but that gave us the wrong answear. We wrote the formulas in Python and plotted them and compared to actuall paths on Solidworks. The tutor said we should find all 6 instantaneous center of rotation and try using them.
 
Throwtex said:
TL;DR Summary: Have a university project where we are calculating the speed of the arm at the end.

I need some help on where to start on the calculations. We have tried to determine instantaneous center of rotation for the device. We want to find the linear velocity of point B. There is a velocity in point A, working vertically. Alle sizes are unknown.
Welcome @Throwtex !

For a constant velocity of slider A, the linear and rotational velocities of point B will change at each instant.
Which one you have been asked to calculate?
With respect to point E or to the ground?

Please, see:
https://en.wikipedia.org/wiki/Linkage_(mechanical)

https://en.wikipedia.org/wiki/Instant_centre_of_rotation

http://www.u.arizona.edu/~pen/ame352/Notes PDF/5.3 Velocity-graphical.pdf

If FD and GE distances are equal, movement of point B should be a magnification of the movement of point D.
 

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