Understanding Precession, Nutation, and Spin in Rotating Objects

  • Thread starter Thread starter Bobster
  • Start date Start date
  • Tags Tags
    Precession Spin
Click For Summary
SUMMARY

This discussion focuses on the dynamics of precession, nutation, and spin in rotating objects, specifically a cylinder with height L and base radius R. The centripetal acceleration experienced by an accelerometer on the base radius is defined as Rω². The user seeks clarification on the relationship between angular velocities, proposing that the total angular velocity ω can be expressed as ω = √(ω²P + ω²N). Additionally, the user speculates that the sensor's experience during nutation and precession involves a time-dependent function of R, potentially incorporating a sine term.

PREREQUISITES
  • Understanding of angular momentum and rotational dynamics
  • Familiarity with the concepts of precession and nutation
  • Knowledge of centripetal acceleration calculations
  • Basic principles of sensor technology and accelerometers
NEXT STEPS
  • Research the mathematical models of precession and nutation in rigid bodies
  • Explore the effects of angular velocity on sensor readings in rotating systems
  • Study the dynamics of gyroscopic motion and its applications
  • Learn about the integration of accelerometers in measuring rotational motion
USEFUL FOR

Students and professionals in physics, mechanical engineering, and robotics who are interested in the behavior of rotating objects and the implications for sensor technology.

Bobster
Messages
16
Reaction score
0
Hi guys !

Im trying to get my head round precession, nutation and spin.

Suppose I have a cylinder of height L, base radius R. Initially it is just spinning about its central axis (i.e. line joining cone tip to the centre of base). In this scenario,

centripetal acceleration experienced by say an accelerometer placed on the radius of the base would be = Rω2.

However when it starts spinning and nutating with angular velocities say ωP and ωN,

am I right in thinking ω = √ω2P+ω2N ?

And also, what would my sensor 'experience' now that it is nutating and precessing ? I am guessing it would be a Rω2 sin term but this time 'R' would be a time dependent function and not constant. What do you think ?
 
Physics news on Phys.org
Any ideas ?
 

Similar threads

Undergrad Order of rotations: precession, nutation, spin
  • · Replies 3 ·
Replies
3
Views
2K
High School Clashing approximations for this precession problem
  • · Replies 5 ·
Replies
5
Views
2K
Gyroscope Experiment Homework: Find Centre of Gravity & Nutation Effects
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Rotating plate thrown parallel to ground
  • · Replies 2 ·
Replies
2
Views
1K
Precession of Rotating Rigid Body from Two Different Frames
  • · Replies 2 ·
Replies
2
Views
2K
Calculating forces regarding angular momentum/gyroscopic forces?
  • · Replies 2 ·
Replies
2
Views
3K
Maximum angle reached by a cube placed inside a spinning cylinder
  • · Replies 22 ·
Replies
22
Views
2K
Calculating Torque for Gyroscopes to Precess in Hubble Telescope
  • · Replies 6 ·
Replies
6
Views
2K
Frictional Torque of a Spinning Top
  • · Replies 6 ·
Replies
6
Views
3K
Gyroscopes and the torque required for precession
  • · Replies 3 ·
Replies
3
Views
12K