Describe the angular momentum of the ball and net torque on

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SUMMARY

The discussion focuses on the angular momentum and net torque of a ball as measured around the origin. The angular momentum vector, denoted as L, is directed in the k̂ direction, while the net torque, τ, is determined to be zero. Key equations referenced include τ = r × F and L = r × p, emphasizing the importance of the right-hand rule in determining the direction of these vectors. The presence of tension in the rope and a magnetic field influences the forces acting on the ball, ultimately resulting in zero net torque.

PREREQUISITES
  • Understanding of angular momentum (L) and torque (τ) concepts
  • Familiarity with vector cross products in physics
  • Knowledge of the right-hand rule for vector direction determination
  • Basic principles of forces acting on a particle, including tension and magnetic forces
NEXT STEPS
  • Study the application of the right-hand rule in vector mechanics
  • Explore the relationship between torque and angular momentum in rotational dynamics
  • Learn about the effects of magnetic fields on charged particles (Lorentz force)
  • Investigate tension forces in circular motion scenarios
USEFUL FOR

Students and educators in physics, particularly those studying mechanics, rotational dynamics, and electromagnetism. This discussion is beneficial for anyone seeking to understand the interplay between forces, torque, and angular momentum in physical systems.

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Homework Statement


  1. At the instant illustrated, which best describes the angular momentum of the ball and net torque on the ball, as measured around the origin?

    L⃗ is in the kˆ direction, ⃗τ is 0.

Homework Equations


torque= (F)x(r)
Tension in rope= (mv^2/r)+qvb

The Attempt at a Solution


I am at a loss, I do not understand this word problem. Can this please be explained?
 

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heartshapedbox said:
which best describes the angular momentum of the ball
Is this a multiple choice problem? I'm not sure I understand what you mean by which best describes the angular momentum.
 
bigguccisosa said:
Is this a multiple choice problem? I'm not sure I understand what you mean by which best describes the angular momentum.
This is the complete problem, I do not know how to do #3. :) Thanks!
 

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Do the three stars indicate anything in particular (***)?
 
Anways, what you have is a problem where you must determine what forces are acting on the particle, and how they influence the torque and angular momentum. Recall that \vec{\tau} = \vec{r} \times \vec{F} and \vec{L} = \vec{r} \times \vec{p}. The right hand rule will come in handy. There is a rope, so that will apply a force of tension on the particle. There is also a magnetic field, which way will the force point due to that?
 
bigguccisosa said:
Do the three stars indicate anything in particular (***)?
the correct answer is marked by "***" :)
 
bigguccisosa said:
Anways, what you have is a problem where you must determine what forces are acting on the particle, and how they influence the torque and angular momentum. Recall that \vec{\tau} = \vec{r} \times \vec{F} and \vec{L} = \vec{r} \times \vec{p}. The right hand rule will come in handy. There is a rope, so that will apply a force of tension on the particle. There is also a magnetic field, which way will the force point due to that?
Ok thank you, I believe I understand. Right hand in direction of velocity, curl towards r, L is out of the page, so k direction.
Right hand in direction of velocity, curl towards F (there is the force of B and the centripetal force) they point in opposite directions, so they cancel, making torque zero?
 
heartshapedbox said:
Ok thank you, I believe I understand. Right hand in direction of velocity, curl towards r, L is out of the page, so k direction.
Yes right hand in direction of velocity (and so linear momentum), curl towards r, so L points in positive k. For torque you should be looking at the direction of the Forces, and crossing them with r. Note that the tension points towards the centre, and the magnetic force points away (F =qv x B). So if you cross them with respect to the r vector, do they contribute to torque? But yes in the end the torque is zero.
 
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