How to find tangential velocity of a mass?

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SUMMARY

The discussion focuses on calculating the tangential velocity (Vτ) of a mass using the formula Vτ = r(ω), where ω is the angular velocity defined as ω = dθ/dt. Participants emphasize the importance of analyzing forces acting on the mass and applying Newton's 2nd law to understand the acceleration experienced by the mass. A force diagram is recommended to visualize the forces and their directions, particularly noting that forces in the y-direction are balanced while there is acceleration in the x-direction.

PREREQUISITES
  • Understanding of angular velocity (ω) and its calculation
  • Familiarity with Newton's 2nd law of motion
  • Ability to draw and interpret force diagrams
  • Knowledge of tangential velocity and its relationship with radius
NEXT STEPS
  • Study the derivation and application of the formula Vτ = r(ω)
  • Learn how to construct and analyze force diagrams in physics
  • Explore different types of acceleration and their equations
  • Review examples of tangential velocity in circular motion scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and motion, as well as educators looking for effective ways to teach concepts related to forces and tangential velocity.

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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