Angular Acceleration when accounting n-reference frames

Click For Summary
SUMMARY

The discussion focuses on the calculation of angular acceleration when multiple reference frames are involved, specifically extending the equation for three reference frames to n-reference frames. The user seeks clarification on the resulting equation for n-reference frames, indicating a need for a generalized formula. This highlights the complexity of angular motion in multi-frame systems and the importance of precise mathematical representation in physics.

PREREQUISITES
  • Understanding of angular acceleration concepts
  • Familiarity with reference frames in physics
  • Basic knowledge of mathematical equations in mechanics
  • Proficiency in vector mathematics
NEXT STEPS
  • Research the generalized equation for angular acceleration in n-reference frames
  • Study the principles of rotational dynamics in multi-frame systems
  • Explore vector calculus applications in physics
  • Learn about transformation matrices in relation to reference frames
USEFUL FOR

Physics students, mechanical engineers, and researchers in dynamics who are dealing with complex systems involving multiple reference frames.

superfunnyshark
Messages
1
Reaction score
0
Hello,

I understand the equation that describes the angular accelerator when 3 reference frames are involved is:

1707677790525.png


Now I would like to ask what is the resulting equation when accounting more than 3 reference frames, i.e. when n-reference frames are involved.

1707678336648.png


Thank you.
 

Similar threads

Gyroscopic effect in quadcopters
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad Frame Transformation in rigid bodies
  • · Replies 4 ·
Replies
4
Views
1K
Doublet flow in Fluid Dynamics between two spheres or cylinders
  • · Replies 0 ·
Replies
0
Views
2K
Integrating FE and Dynamics
  • · Replies 2 ·
Replies
2
Views
2K
Engineering Static Vs Dynamic Force Analysis in Mechanism
  • · Replies 3 ·
Replies
3
Views
2K
Torque calculations: Rotating vertical shaft
  • · Replies 5 ·
Replies
5
Views
5K
Modeling Air Compression Cylinder
  • · Replies 45 ·
2
Replies
45
Views
6K
Undergrad Principle of relativity for proper accelerating frame of reference
  • · Replies 144 ·
5
Replies
144
Views
9K
Problem in understanding angular momentum of a rigid body
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Non-Inertial Relativistic Dynamics
  • · Replies 18 ·
Replies
18
Views
2K