Planar Kinematics of a Rigid Body (Relative Motion Analysis using Rotating Axes)

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SUMMARY

The discussion focuses on the analysis of planar kinematics of a rigid body, specifically addressing issues with calculating angular velocity and angular acceleration. The user has derived equations but found discrepancies between their calculated values and expected results. They emphasize the need for computational software to validate their findings after converting all measurements from inches to feet. The problem highlights the importance of accurate differentiation in kinematic equations.

PREREQUISITES
  • Understanding of angular velocity and angular acceleration
  • Familiarity with kinematic equations for rigid bodies
  • Proficiency in using computational software for simulations
  • Basic knowledge of unit conversions, specifically from inches to feet
NEXT STEPS
  • Explore computational software options for kinematic analysis, such as MATLAB or Python with NumPy
  • Study the differentiation of kinematic equations to ensure accurate calculations
  • Review the principles of relative motion analysis in rigid body dynamics
  • Investigate common pitfalls in angular motion calculations and how to avoid them
USEFUL FOR

This discussion is beneficial for students studying mechanical engineering, physics enthusiasts, and professionals involved in robotics or motion analysis who require a deeper understanding of rigid body kinematics.

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Let me start by saying thank you to any responses I receive. I understand the methods for solving this problem but I have concluded that either part or all of my solution is incorrect.

After solving for the angular velocity, I differentiated my answer in order to check the angular acceleration. I then calculated the values of my solution and the derived solution from the velocity for some sample values of theta... They don't match. So either both my ang velocity AND my ang acceleration are incorrect.. Or only my acceleration is incorrect.

The problem statement says to use computational software, but I must first derive the equations..

*EDIT* I have converted all inches into feet

Thanks again

Homework Statement


problem.jpg

axis.jpg


Homework Equations


Due to limitations in posting methods, I have attached a pdf with my relevant equations and an attempt at a solution.

The Attempt at a Solution


Due to limitations in posting methods, I have attached a pdf with my relevant equations and an attempt at a solution.
 

Attachments

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