How to find tangential velocity of a mass?

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Homework Help Overview

The discussion revolves around finding the tangential velocity of a mass, with a focus on the relationship between angular velocity and linear motion. Participants are exploring the concepts of angular motion and forces acting on the mass.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to understand how to derive angular velocity (ω) without a time component in the problem. Some participants suggest analyzing forces and drawing force diagrams to clarify the situation. Questions arise regarding the type of acceleration experienced by the mass and its implications for the problem.

Discussion Status

The discussion is ongoing, with participants providing hints and guidance on analyzing forces and acceleration. There is a focus on understanding the geometric implications of the motion, but no consensus has been reached yet.

Contextual Notes

Participants note the absence of vertical motion and the implications this has for the forces in the y-direction, which are considered to be zero. The nature of the acceleration along the x-axis is also under examination.

coldjeanz
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Homework Statement


WlCZ6.png



Homework Equations



Vτ = r(ω)

ω=dθ/dt


The Attempt at a Solution



I have gone through this section in my book and see nothing about doing this with masses involved. There's no time involved in this question so how do you get ω? I'm really lost here, any initial guidance would be appreciated.
 
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Analyze forces on the mass and apply Newton's 2nd law. Hint: What kind of acceleration does the mass experience?
 
Draw your force diagram and ask yourself, in which direction do the forces add to zero and in which direction do they not. And in the direction where there is acceleration, what kind of acceleration do you have and what equations are associated with that type of acceleration. Be careful on that diagram. You might want to post it first before going any further.
 
Acceleration is in the x-direction and forces add to 0 in y?
 
True - There is no vertical motion so the forces in the y direction are indeed zero
And there is acceleration along the x-axis but look at the path the object makes. The x-axis is what part of that geometric shape?
 

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