A crate is hung by three ropes attached to a steel ring at such that the top surface is parallel to the = plane. Point is located at a height of 101.6 cm above the top of the crate directly over the geometric center of the top surface. Use the given dimensions from the table below to perform the following calculations: → a.) Determine the position vector r AD that describes rope AD. b.) Compute the unit vector cд that points from point C to point A. c.) If rope AB carries a tension force of magnitude FT = 602 →> N, determine the force vector FT that expresses how this force acts on point A. Express each vector in Cartesian components to three significant figures. 2013 Michael Swanbom ↑ Z BY NC SA x У B a D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value a 121.92 cm b 93.98 cm C 69.68 cm a. FAD = ( b. = C. = + + 2 + + + ) cm ) N
A crate is hung by three ropes attached to a steel ring at such that the top surface is parallel to the = plane. Point is located at a height of 101.6 cm above the top of the crate directly over the geometric center of the top surface. Use the given dimensions from the table below to perform the following calculations: → a.) Determine the position vector r AD that describes rope AD. b.) Compute the unit vector cд that points from point C to point A. c.) If rope AB carries a tension force of magnitude FT = 602 →> N, determine the force vector FT that expresses how this force acts on point A. Express each vector in Cartesian components to three significant figures. 2013 Michael Swanbom ↑ Z BY NC SA x У B a D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value a 121.92 cm b 93.98 cm C 69.68 cm a. FAD = ( b. = C. = + + 2 + + + ) cm ) N
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Need help, please show all work and round to 3 sig figs.
Transcribed Image Text:A crate is hung by three ropes attached to a steel ring at
such that the top surface is parallel to the
=
plane. Point
is located at a height of 101.6 cm above the top of the
crate directly over the geometric center of the top surface.
Use the given dimensions from the table below to perform
the following calculations:
→
a.) Determine the position vector r AD that describes rope
AD.
b.) Compute the unit vector cд that points from point C to
point A.
c.) If rope AB carries a tension force of magnitude FT = 602
→>
N, determine the force vector FT that expresses how this
force acts on point A.
Express each vector in Cartesian components to three
significant figures.
2013 Michael Swanbom
↑ Z
BY NC SA
x
У
B
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale. Be sure to align
your cartesian unit vectors with the coordinate axes shown in
the figure.
Variable Value
a
121.92 cm
b
93.98 cm
C
69.68 cm
a. FAD = (
b.
=
C.
=
+
+
2 +
+
+
) cm
) N
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