(kinematics) Is it to derive into radial and transverse components?

AI Thread Summary
The discussion focuses on deriving the second-order derivative of the angle θ (θ'') in relation to the motion of a collar connected to a reel by a wire. The collar moves horizontally at a constant speed v0, prompting the need to express θ'' in terms of v0, b, and θ. Participants suggest using x and y coordinates for simplification, noting that the horizontal speed remains constant. The challenge lies in determining the unit vectors eθ and er for proper analysis. Understanding these components is crucial for solving the kinematics problem effectively.
fociboy
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Homework Statement


A wire OA connects the collar A and a reel located at O as shown in the picture. Knowing that the collar moves to the right at a constant speed v0, determine θ'' (the 2nd-order-derivative of θ) in term of v0, b and θ.
http://www.freeimagehosting.net/uploads/3cad8b54c6.jpg

Is it to derive into radial and transverse components?
I can't figure out the unit vector e θ and er. How can we set up it?
 
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fociboy said:
Knowing that the collar moves to the right at a constant speed v0, determine θ'' (the 2nd-order-derivative of θ) in term of v0, b and θ.

Hi fociboy! :smile:

You know the horizontal speed is constant, so use x and y coordinates, and x' = v0, y' = 0, and rewrite in terms of r' and θ'. :smile:
 
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