In geometry, a dihedral or torsion angle is the angle between two planes.
(
en.wikipedia.org/wiki/Dihedral_angle
)
•
Unit Vector:
In mathematics, a unit vector in a normed vector space is a vector (often a spatial
vector) whose length is 1 (the unit length). A unit vector is often denoted by a lowercase letter with
a “hat”, like this: {\hat{\imath}} (pronounced "ihat"). (
en.wikipedia.org/wiki/Unit_vector
)
•
Magnitude:
size; extent; dimensions(dictionary.com)
•
Axes:
a line about which a threedimensional body or figure is symmetrical.(dictionary.com)
•
Work
:
The transfer of energy from one object to another, especially in order to make the second
object move in a certain direction. Work is equal to the amount of force multiplied by the distance
over which it is applied. (dictionary.com).
Data:
(look at attached excel sheet and graph paper)
Analysis:
(look at attached excel sheet and graph paper)
Results and Conclusion:
This lab was executed to help the students know and understand the scalar
product of two vectors and the work that goes with it. The main equation used to calculate the change of
work for both first line integral and second line integral was: ΔW=F2F1*Δs*cos(Θ). For the first line
integral we obtained ΔW to be 0.0041J which is really close to 0 which was the goal and for the second
integral test we got ΔW was 0j which is exactly what was expected. Possible discrepancies in our work
could be excel doing wrong calculations, using the wrong equation, not measuring the angles right with the
protractor, drawing the lines wrong, measuring the lines wrong, and measured the forces wrong.
Questions:
Report part 1e)
Think about the two line integrals carefully, and explain why the values should be so very different.
Answer:
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The values are different because with the semicircle, the final point is not the same or the initial point with
the square. The final point is the same as the initial in the square.
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 Fall '11
 BrunoBauer
 Physics, Vector Space, Dot Product, Force, Work, scalar product, δw

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