Angular velocity for a physical pendulum

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Homework Help Overview

The discussion revolves around a physical pendulum problem involving two masses positioned at different points along a leg, with the goal of determining the angular velocity as it passes through the equilibrium position. The original poster expresses a desire to find this angular velocity without using the work-energy principle.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conservation of energy as a potential method for solving the problem. There is a query about the exclusivity of this approach, with some participants suggesting that other methods exist, albeit potentially more complex.

Discussion Status

The conversation is ongoing, with participants exploring various methods of analysis, including Newton's laws and Lagrangian dynamics. There is a recognition of constraints imposed by course materials, which limits the methods that can be utilized.

Contextual Notes

Participants note restrictions on using methods outside the course book, as well as the teacher's assertion regarding the singularity of the solution approach. There is also a mention of prior knowledge needed for Lagrangian dynamics, indicating a level of complexity in the discussion.

NooDota
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Homework Statement

I have a physical pendulum made of a leg which mass is ignored, with a length of 1m, two objects of mass are placed on the bottom and the top of the leg, the first with a mass of m1= m1, and the second with a mass of m2= 3m1, both are L/2 away from the pivot point.

It's swayed to an angle of 60 from the equilibrium position, and left to sway with no initial velocity.

Find the angular velocity the moment it goes through the equilibrium position.

Is there any way to find the angular velocity without using ΔEk a⇒b=∑W(F a⇒b)? I don't want to use that.

Homework Equations

The Attempt at a Solution

 
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Conservation of energy is the simplest approach.
 
But the teacher said there is no other possible way to solve it, is this true?
 
NooDota said:
But the teacher said there is no other possible way to solve it, is this true?

There are other possible ways to solve it, but they may involve math and physics approaches most introductory students (and some teachers) have not learned yet.
 
Can you name some?

I'm not aiming to actually find the velocity, but to know any other approaches to find it for personal knowledge. I'm not even allowed to use any methods outside the course book, even if they're correct.
 
Newton's laws, Lagrangian dynamics, ...
 
Thanks.

What prior knowledge do I need/should have before learning lagrangian dynamics?
 

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