Falling Dumbbell: Determine Force vs Angle

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Homework Help Overview

The discussion revolves around determining the forces acting on a vertical wall from a falling dumbbell, which consists of two masses connected by a rod. The problem is situated within the context of classical mechanics, specifically focusing on Newton's laws of motion and the dynamics of falling objects.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants suggest starting with free-body diagrams for each mass and exploring how their positions relate to the angle θ. There are questions about the presence of a wall and the necessity of a diagram. Some participants express uncertainty about the forces acting on the system and the role of the law of conservation of energy in the solution.

Discussion Status

The discussion is active, with various participants offering insights and suggestions for approaching the problem. Some have proposed breaking down the forces into components and using equations of motion, while others are questioning the assumptions made about the system. There is no explicit consensus, but multiple lines of reasoning are being explored.

Contextual Notes

Participants note the need for clarity regarding the wall's presence and the forces acting on the dumbbell. There is also mention of the total mass of the dumbbell and its implications for the center of mass calculations, indicating some confusion about the treatment of the system as a whole versus its individual components.

  • #31
haruspex said:
This is not the same as the force along the bar.
Yes, I understand.
Correct equation is
##2m\vec a_{ CM}=2m\vec g +\vec N_1 + ⃗\vec N_2 ##
##\vec N_1## - is the reaction from the floore
##\vec N_2## - is the reaction from the wall
Also, I know from the energy law conservation or other the normal and tangential accelerations of the CM. How I can find ##N_2##, I need ##a_x##?
 

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