Falling thin rod and angular speed

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Homework Help Overview

The problem involves a 1.80 m long thin rod that is initially balanced vertically on its tip and begins to fall without slipping at its lower end. The question seeks to determine the angular speed of the rod just before it impacts the floor, focusing on concepts related to rotational motion and energy conservation.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of conservation of energy to solve the problem, with some expressing confusion about how to apply it correctly. There are inquiries about the relationship between translational and rotational kinetic energy and how to approach the problem from the perspective of energy forms.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the application of energy conservation principles. Some guidance has been offered regarding treating the pivot point and considering the types of kinetic energy involved, but no consensus or resolution has been reached.

Contextual Notes

Participants are grappling with the initial conditions of the problem and the implications of the rod's pivoting motion. There is an acknowledgment of potential missing information or misunderstandings regarding energy forms as the rod falls.

wondermoose
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Homework Statement


A 1.80 m long thing rod is balanced vertically on its tip on the floor. It starts to fall and its lower end does not slip. What is its angular speed just before it hits the floor?


Homework Equations


1/3ML^2
L=mvr


The Attempt at a Solution


When I first started this problem I had a better grasp, but as I started thinking about it I'm pretty sure I got further away. I started finding accelerations and velocities instead of getting back to the angular speed part of the problem. Now I'm trying to figure out how to actually do the problem. What is the first step?

Thanks.
 
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wondermoose said:

Homework Statement


A 1.80 m long thing rod is balanced vertically on its tip on the floor. It starts to fall and its lower end does not slip. What is its angular speed just before it hits the floor?


Homework Equations


1/3ML^2
L=mvr


The Attempt at a Solution


When I first started this problem I had a better grasp, but as I started thinking about it I'm pretty sure I got further away. I started finding accelerations and velocities instead of getting back to the angular speed part of the problem. Now I'm trying to figure out how to actually do the problem. What is the first step?

Thanks.
If the lower end does not slip, then you can treat it as a frictionless pivot. I would approach this problem using conservation of energy.
 
Can you explain that a little further? I attempted to use conservation energy, but apparently I'm missing something somewhere along the way and not doing the problem correctly at all. Am I going to find the total kinetic energy of the rod, maybe some kind of K(transitional) + K(rotational) equation?

Thanks
 
wondermoose said:
Can you explain that a little further? I attempted to use conservation energy, but apparently I'm missing something somewhere along the way and not doing the problem correctly at all. Am I going to find the total kinetic energy of the rod, maybe some kind of K(transitional) + K(rotational) equation?

Thanks
At the beginning, just for the rod falls, what form is the energy in?
 

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