A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 121.92 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 IAD 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 = 760 → 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 b x B У 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 101.6 cm b 124.46 cm с 38.71 cm a. rдD = + b. ÛCA c. FT= = 3+ + + + k) cm k) k) N

A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 121.92 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 IAD 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 = 760 → 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 b x B У 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 101.6 cm b 124.46 cm с 38.71 cm a. rдD = + b. ÛCA c. FT= = 3+ + + + k) cm k) k) N

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

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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 xy plane. Point A is located at a height of h = 83.82 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 b.) Compute the unit vector ûCA that points from point point A. c.) If rope AB carries a tension force of magnitude F = 674 → N, determine the force vector FT that expresses how this force acts on point A. 2013 Michael Swanbom cc i❀O BY NC SA Express each vector in Cartesian components to three significant figures. b PAD cm cm that describes rope AD ↑Z cm y 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
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