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Phy 121
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
Question on vectors
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Some of the problems with vectors that I have run across I am not really understanding how to do them....for example, one asks What vector of magnitude 6.6 must be addedto A= <-.55, 6.4> in order to obtain a vertical vector? How would I find the magnitude and angle of the vector that is suppossed to be added?
and another one talks about the velocity of a vector bas x and y components -3 meters/sec and 10 meters/sec....how would you find the magnitude and angle displacement in this case...?? Thank you!!
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See also the Introductory Problem Sets, where more extensive explanations are provided. All problems on your test are generated by the same program that generates those sets.
A vertical vector has x component 0. So to get a vertical vector you would have to add a vector whose horizontal component is +.55.
The vector would therefore have magnitude 6.6, with horizontal component .55.
Thus
sqrt( (.55)^2 + (vert comp)^2) = 6.6 so
.55^2 + (vert comp)^2 = 6.6^2
and
(vert comp)^2 - 6.6^2 - .55^2
so
vert comp = +- sqrt( 6.6^2 - .55^2).
The magnitude and angle of a vector whose components are R_x and R_y are
magnitude = sqrt( R_x^2 + R_y^2)
angle = arcTan(R_y / R_x_), plus 180 deg if R_x = 0.
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