A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which vary with time t in seconds according to x = 8.9t² + 6.5 and y = 6t³ + 4.4. For time t = 4.6 s, determine the radius of curvature p of the particle path and the magnitudes of the normal and tangential accelerations. Answers: At t = 4.6 s, p= an= at = i i i mm mm/s² mm/s²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which vary with time t in seconds
according to x = 8.9t² + 6.5 and y = 6t³+ 4.4. For time t = 4.6 s, determine the radius of curvature p of the particle path and the
magnitudes of the normal and tangential accelerations.
Answers: At t = 4.6 s,
p=
an =
at =
i
i
i
mm
mm/s²
mm/s²
Transcribed Image Text:A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which vary with time t in seconds according to x = 8.9t² + 6.5 and y = 6t³+ 4.4. For time t = 4.6 s, determine the radius of curvature p of the particle path and the magnitudes of the normal and tangential accelerations. Answers: At t = 4.6 s, p= an = at = i i i mm mm/s² mm/s²
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