Calculating Angular Momentum with Constant Torque: A Particle in Motion

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Homework Help Overview

The problem involves calculating the angular momentum of a particle under the influence of a constant torque. The context is centered around the relationship between torque and angular momentum, specifically at a given time interval.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between torque and angular momentum, with some suggesting that torque represents the rate of change of angular momentum. Others explore how to apply this relationship to find the new angular momentum after a short time interval.

Discussion Status

There is an ongoing exploration of the concepts involved, with some participants providing guidance on how to set up the equations. Multiple interpretations of the problem are being discussed, particularly regarding the application of torque and the time interval.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the information available for solving the problem. There is a specific focus on the time interval of 0.2 seconds and its role in the calculations.

lebprince
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Homework Statement



At t = 15 s, a particle has angular momentum <5, 8, -3> kg · m2/s relative to location A. A constant torque <12, -13, 20> N · m relative to location A acts on the particle. At t = 15.2 s, what is the angular momentum of the particle relative to location A?


The Attempt at a Solution



i know that torque = R x Fnet , but am not sure how to use it in this problem here. any help please?
 
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Isn't the torque equal to the first derivative of the angular momentum?

So wouldn't that mean that the rate of change of the angular momentum is expressed by the Torque given relative to point A?
 
LowlyPion said:
Isn't the torque equal to the first derivative of the angular momentum?

So wouldn't that mean that the rate of change of the angular momentum is expressed by the Torque given relative to point A?


i still don't get how to solve the problem
 
Torque =( L2-L1)/t
Torque*t = L2 - L1.
Find L2.
 
rl.bhat said:
Torque =( L2-L1)/t
Torque*t = L2 - L1.
Find L2.


oh u meant deltat thanks
 
Yes. Like that.

The Δt in this case is .2 s and is a scalar to the Torque Vector which as rl.bhat indicated should yield a difference vector ΔLa that added to the original La vector should yield the New La at T + Δt.
 

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