A particle moving in the x-y plane has a position vector given by r = ²i + ³j, where r is in inches and t is in seconds. Calculate the radius of curva- %3D ture p of the path for the position of the particle when t = 2 sec. Sketch the velocity v and the cur- vature of the path for this particular instant. %3D

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A particle moving in the x-y plane has a position
3,
vector given byr = ²i + t³j, where r is in inches
and t is in seconds. Calculate the radius of curva-
ture p of the path for the position of the particle
when t = 2 sec. Sketch the velocity v and the cur-
vature of the path for this particular instant.
Transcribed Image Text:A particle moving in the x-y plane has a position 3, vector given byr = ²i + t³j, where r is in inches and t is in seconds. Calculate the radius of curva- ture p of the path for the position of the particle when t = 2 sec. Sketch the velocity v and the cur- vature of the path for this particular instant.
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