How to find tangential velocity of a mass?

AI Thread Summary
To find the tangential velocity of a mass, the equation Vτ = r(ω) is used, where ω is the angular velocity. The discussion highlights the challenge of determining ω without time, suggesting an analysis of forces and acceleration. Newton's second law is recommended for understanding the forces acting on the mass, particularly focusing on the direction of acceleration. It is noted that while forces in the vertical direction are balanced, there is unbalanced acceleration in the horizontal direction. Understanding the geometric path of the object is crucial for applying these concepts effectively.
coldjeanz
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Homework Statement


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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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