A particle moving in the x-y plane has a position vector given by r = 3/2t² i + 2/3t³j, where r is in inches and t is in seconds. Calculate the radius of curvature p of the path for the position of the particle when t = 2.0 sec. Sketch the velocity v and the curvature of the path for this particular instant. 6. Answer: p= i in.

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A particle moving in the x-y plane has a position vector given by r = 3/2t² i + 2/3t³j, where r is in inches and t is in seconds.
Calculate the radius of curvature p of the path for the position of the particle when t = 2.0 sec. Sketch the velocity v and
the curvature of the path for this particular instant.
6.
Answer: p=
i
in.
Transcribed Image Text:A particle moving in the x-y plane has a position vector given by r = 3/2t² i + 2/3t³j, where r is in inches and t is in seconds. Calculate the radius of curvature p of the path for the position of the particle when t = 2.0 sec. Sketch the velocity v and the curvature of the path for this particular instant. 6. Answer: p= i in.
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