Tangential Velocity (maybe)

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SUMMARY

The discussion centers on calculating the tangential velocity of point B, which rotates around point A, while A rotates around the origin. Key parameters include angular velocities of A (ω_A = 0.5 radians/sec) and B (ω_B = 2 radians/sec), and their respective distances from the origin (r1 = 10m, r2 = 3m). The participants emphasize the need to express positions as functions of time to derive velocities accurately, highlighting the importance of understanding angular motion and vector calculus in solving such problems.

PREREQUISITES
  • Understanding of angular velocity and tangential velocity concepts
  • Familiarity with vector calculus and derivatives
  • Knowledge of LaTeX for mathematical expressions
  • Basic principles of circular motion and position vectors
NEXT STEPS
  • Learn how to express angular positions as functions of time
  • Study the relationship between angular velocity and tangential velocity
  • Explore vector calculus applications in physics problems
  • Investigate the historical context of planetary motion models, including Ptolemy and Newton
USEFUL FOR

Students and educators in physics, particularly those focusing on mechanics, angular motion, and vector calculus. This discussion is also beneficial for anyone interested in the historical development of motion theories.

  • #31
kuruman said:
What additional description do you require?
Actually I want to know why B will start rotating?
 
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  • #32
I assume that vector A rotates about the origin, referenced to the x-axis.
Does vector B rotate relative to vector A, or relative to the x-axis ?

Which tangential velocity is required? Is it the rate of point B about the origin in rad/sec, or distance per second about the origin.
Or is it the instantaneous velocity of point B on the x, y plane ?

titasdasplus said:
Actually I want to know why B will start rotating?
Because it is specified as having an angular frequency.
What alternatives are there?
 
  • #33
haruspex said:
In that thread, I did show that the expression gave the right answer in a couple of special cases. Maybe you would find that more persuasive?
You were right, and my "suspicion" was wrong. I misinterpreted the requirement in the OP (see the "edit" in post #29).
 
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  • #34
kuruman said:
Around 200 CE, Ptolemy came close to describing planetary motion within the geocentric model. He used the idea of epicycles which is essentially what we have here
Well, in this case we're describing the orbit of the Moon...
 

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