A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the zy plane. Point A is located at a height of h = 111.76 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 AD that describes rope AD. b.) Compute the unit vector üc that points from point C to point A. Fr that c.) If rope AB carries a tension force of magnitude F = 776 N, determine the force vector expresses how this force acts on point A. Express each vector in Cartesian components to three significant figures. 2013 Michael Swanbom CC 30 BY NC Variable Value C. 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. a b b с a. FAD = b.ûCA = 76.2 cm 78.74 cm 33.87 cm i y i+ a k) cm e) N

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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...
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A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the zy
plane. Point A is located at a height of h = 111.76 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 TAD that describes rope AD.
b.) Compute the unit vector to that points from point C to point A.
c.) If rope AB carries a tension force of magnitude P= 776 N, determine the force vector F that
expresses how this force acts on point A.
Express each vector in Cartesian components to three significant figures.
2013 Michael Swanbom
BY NC SA
с
b
a. FAD =
b. cA= (
Fr= (
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
a
b
Value
76.2 cm
78.74 cm
33.87 cm
i +
B
+
a
k) cm
k)
e) N
Transcribed Image Text:A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the zy plane. Point A is located at a height of h = 111.76 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 TAD that describes rope AD. b.) Compute the unit vector to that points from point C to point A. c.) If rope AB carries a tension force of magnitude P= 776 N, determine the force vector F that expresses how this force acts on point A. Express each vector in Cartesian components to three significant figures. 2013 Michael Swanbom BY NC SA с b a. FAD = b. cA= ( Fr= ( 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 a b Value 76.2 cm 78.74 cm 33.87 cm i + B + a k) cm k) e) N
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