Force, velocity and linear momentum

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SUMMARY

The discussion centers on the relationship between torque (τ), velocity precession (Ω), and angular momentum (L), expressed by the equation τ = Ω L. Participants explore whether a similar linear equation exists that connects force (F), linear momentum (P), and velocity. It is established that there is no direct linear analog to precession, as torque represents the time rate of change of angular momentum, while force represents the time rate of change of linear momentum.

PREREQUISITES
  • Understanding of torque (τ) and its relationship to angular momentum (L)
  • Familiarity with linear momentum (P) and force (F)
  • Basic knowledge of physics concepts related to motion and dynamics
  • Ability to interpret equations relating to rotational and linear motion
NEXT STEPS
  • Study the relationship between torque and angular momentum in detail
  • Research the principles of linear momentum and its conservation
  • Explore the concept of force as the rate of change of momentum
  • Investigate advanced topics in rotational dynamics and their applications
USEFUL FOR

Physics students, educators, and professionals interested in dynamics, particularly those focusing on the relationships between torque, force, and momentum in both linear and rotational contexts.

Jhenrique
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If we can connect the torque τ with the velocity precession Ω and angular momentum L, as: τ = Ω L. So, analogouslly, exist a equation that connect the force F, the linear momentum P and with some velocity? I.e., exist a linear version for equation τ = Ω L? Which?
 
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Jhenrique said:
If we can connect the torque τ with the velocity precession Ω and angular momentum L, as: τ = Ω L. So, analogouslly, exist a equation that connect the force F, the linear momentum P and with some velocity? I.e., exist a linear version for equation τ = Ω L? Which?
There is no linear analog to precession. Torque is the time rate of change of angular momentum and force is the time rate of change of linear momentum.

AM
 

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