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Problem 1. Let the line segments that join points p and q in the reference configuration B. be represented by the differential position vectors dX=dSM, where dS is the magnitude of dX and M is a unit vector in the direction of dX. Similarly, let the line segment that join these points in the current configuration 3, be represented by the differential position vector dx=dsm .Show that ds-M.C.M A² = dS Hint: Consider dx.dx and recall that dx = FdX.

Problem 1. Let the line segments that join points p and q in the reference configuration B. be represented by the differential position vectors dX=dSM, where dS is the magnitude of dX and M is a unit vector in the direction of dX. Similarly, let the line segment that join these points in the current configuration 3, be represented by the differential position vector dx=dsm .Show that ds-M.C.M A² = dS Hint: Consider dx.dx and recall that dx = FdX.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1. Let the line segments that join points p and q in the reference configuration , be represented by the differential position vectors dX = dSM, where dS is the magnitude of dx and M is a unit vector in the direction of dX. Similarly, let the line segment that join these points in the current configuration , be represented by the differential position vector dx = dsm .Show that ds ds Hint: Consider dx dx and recall that dx = FdX. A² = = M.C.M
Transcribed Image Text:Problem 1. Let the line segments that join points p and q in the reference configuration , be represented by the differential position vectors dX = dSM, where dS is the magnitude of dx and M is a unit vector in the direction of dX. Similarly, let the line segment that join these points in the current configuration , be represented by the differential position vector dx = dsm .Show that ds ds Hint: Consider dx dx and recall that dx = FdX. A² = = M.C.M
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