Help Finding path of a particle with an intial position and initial velocity

AI Thread Summary
The discussion revolves around a homework problem involving the path of a particle with a specified initial position and velocity in cylindrical coordinates. The participant expresses confusion about how to apply the relevant equations, including those for converting between coordinate systems. Suggestions include reviewing kinematic equations specific to cylindrical or spherical coordinates and utilizing online resources for further clarification. The conversation highlights the need for understanding the application of these equations to solve the problem effectively. Overall, the participant seeks guidance on how to proceed with the calculations.
ezedvin1
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Hi everyone,

I am having trouble finding the answer to a homework problem. I don't seem to understand what the question is exactly asking for. The problem is:

find the path of a particle with an initial position 10er + 1.0eϴ and an initial velocity 0.1er + 0.8eϴ
 
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Have you considered using the kinematics for cylindrical coordinates?
 
the equations I am thinking about using are

Cylindrical coordinates: r, ∅, z
x=rcos∅ y=rsin∅

Spherical Coordinates: r, θ, ∅
x=rsinθcos∅ y=rsinθsin∅ z=rcosθ

I also know an equation for velocity as v=\dot{r}er + r\dot{θ}eθ

I'm still very confused as to what to do with all these equations to find the path of the particle. Please Help.
 
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Those equations look like they are for converting from Cartesian coordinates to cylindrical / spherical coordinates.

Try looking around in your book for the kinematic equations in cylindrical / spherical form. If they aren't in your book you could try going to this link

en.wikipedia.org/wiki/Equations_of_motion

and try looking for them by Crtl+F and typing in what you're looking for.

I haven't ever worked with those coordinate systems and kinematic equations before, otherwise I would be more helpful.
 
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