For the report consider one of the forcesegment pairs in the first integral problem (a) calculate work, dW,
for this segment directly using this equation: ΔW=F2F1*Δs*cos(Θ) (b) Set up an arbitrary rectangular
coordinate system. Then obtain the components of the force and of the segment in this coordinate system
then using this equation: ΔW=F2F1*Δs*cos(Θ) calculate the work done. Finally compare the values
found in the above two calculations from part a and b. For the spring balancerod arrangement, determine
the value of the line integral, if done right the value of W should be zero. Next week obtain the value of the
second line integral with the equation ΔW=F2F1*Δs*cos(Θ).
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Unfamiliar Terms
:
•
Scalar Product:
a real number (a scalar) that is the product of two vectors.
(wordnetweb.princeton.edu/perl/webwn)
•
Cartesian Coordinates:
The coordinates of a point measured as its perpendicular distance to the
right of a vertical axis (the yaxis) and its perpendicular distance above a horizontal axis (the x
axis). (en.wiktionary.org/wiki/Cartesian_coordinates)
•
Displacement:
a.
A vector or the magnitude of a vector from the initial position to a subsequent
position assumed by a body.
b.
The weight or volume of a fluid displaced by a floating body, used especially as a measurement
of the weight or bulk of ships.( http://www.thefreedictionary.com/displacement)
•
Integral:
A function of which a given function is the derivative, i.e., which yields that function
when differentiated, and which may express the area under the curve of a graph of the function.
(
www.google.dictionary.com
)
•
Line integral:
the limit, as the norm of the partition of a given curve approaches zero, of the sum
of the product of the length of the arcs in the partition times the value of the function at some point
on each arc.(dictionary.com)
•
Plane:
A flat surface that is infinitely large and with zero
thickness(
http://www.mathopenref.com/plane.html
)
•
Azimuth Angle:
The angle between true south and the point on the horizon directly below the sun.(
www.kyocerasolar.com/solar/glossary.html)
•
Dihedral Angle:
In geometry, a dihedral or torsion angle is the angle between two planes.
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 Fall '11
 BrunoBauer
 Physics, Vector Space, Dot Product, Force, Work, scalar product, δw

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