A particle moving in the x-y plane has a position vector given by r = 0.81t²i +0.74t³j, 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 = 2.1 sec. Sketch the velocity v and the curvature of the path for this particular instant. Answer: p= i in.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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A particle moving in the x-y plane has a position vector given by r = 0.81t²i + 0.74t³j, 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 = 2.1 sec. Sketch the velocity v and the curvature of the path
for this particular instant.
Answer: p= i
in.
Transcribed Image Text:A particle moving in the x-y plane has a position vector given by r = 0.81t²i + 0.74t³j, 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 = 2.1 sec. Sketch the velocity v and the curvature of the path for this particular instant. Answer: p= i in.
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