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ID: 1828430 • Letter: #
Question
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Problem 2.124
"margin: 0px 0px 0.75em; padding: 0px; height: 1px;">Will rate.
Thanks ahead. The answer I tried was 84j + 28k which I think is
close.
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Part
A
"margin: 0px 0px 0.75em 2em; padding: 0px;">Determine the projected
component of force
src="http://session.masteringengineering.com/render?expr={f{F}}_{AB}"
class="done" />along the axis of strutAO.
Express the result as a Cartesian vector.
"yui_3_3_0_23_134603987576459">(
style=
"color: rgb(0, 51, 153); text-decoration: underline; cursor: pointer;">Figure
1
)
style=
"margin: 0px 0px 0.75em 2em; padding: 0px; font-weight: bold;">
Express your answer in
terms of the unit vectors
src="http://session.masteringengineering.com/render?expr={f+i}"
"http://session.masteringengineering.com/render?expr={f+j}"
"http://session.masteringengineering.com/render?expr={f+k}"
class="done" />using two significant figures.
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"margin: 0px; padding: 0.5em; border: 1px solid rgb(170, 170, 170); position: relative; border-top-left-radius: 5px; border-top-right-radius: 5px; border-bottom-right-radius: 5px; border-bottom-left-radius: 5px; display: inline-block; min-width: 20em;">
"gadget genericFlash solutionSymbolic" style=
"margin: 0px; padding: 0px 0.4em 0px 0px; position: relative; display: inline-block; vertical-align: middle;">
"margin: 0px; padding: 2px;">
"({f{F}}_{AB})_{AO}" align="middle" src=
"http://session.masteringengineering.com/render?expr=({f{F}}_{AB})_{AO}"
class="done" />=
"margin: 0px 0px -0.1em; padding: 0px;">
"application/x-shockwave-flash" id="problemView1" name=
"problemView1" align="middle" tabindex="0" data=
"http://session.masteringengineering.com/assets/flash/eq_entry.build1208231401.swf"
width="375" height="60" style=
"width: 376px; height: 49px;">
"margin: 0px; padding: 2px;">
"middle" src=
"http://session.masteringengineering.com/render?expr= m+lb"
class="done" />
"margin: 6px 0px 0.75em; padding: 0px 0px 2px;">
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Again; 3 attempts remaining
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What would the answer be for Fac
Explanation / Answer
Find component for AO
AO = ( 0, -6, -2)
need to normalize
AO = 1/sqrt(6^2 + 2^2 ) (0,-6,-2)
= 1/sqrt(40) <0,-6,-2>
Find components for FAC
x= 5 cos 60
y=-6
z= 5 sin 60 - 2
FAC x = x/L F = 5 cos 60 * 60 / sqrt( (5cos60)^2 +6^2 + (5 sin 60 - 2)^2)=21.72
FAC y = y/L F = -6 * 60 / sqrt( (5cos60)^2 +6^2 + (5 sin 60 - 2)^2)= -52.14
FAC z = z/ L F = (5 sin 60 - 2)* 60 / sqrt( (5cos60)^2 +6^2 + (5 sin 60 - 2)^2)= 20.25
to find project we calculate dot product between FAC and AO
FAC * AO = FACx AOx + FACy AOy + FACz AOz
= 21.72 * 0 + -52.14*1/sqrt(40)*-6 + 20.25 * 1/sqrt(40)*-2 = 43.06
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