Consider the four bar suspension linkage shown in the figure. Use the given dimensions from the table > below to write the position vector rBE describing the lowest link and the position vector rGH describing the shock. Express each vector in Cartesian components and also as a magnitude and an angle (measured counterclockwise from an x-axis defined parallel to the ground and pointing right). h *5* H W W W5 W3 Wi h3 CC + BY NC SA 2013 Michael Swanbom Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Variable Value Value 11 in h1 13 in W1 h2 16.6 in W2 6 in h3 20 in W3 11.2 in h 12.8 in W4 9.1 in h5 6.5 in W5 14.7 in + TBE = > BE has magnitude TBE = CCW from horizontal. FGH rGH = ) inches inches and points at an angle of degrees ~.> : + ) inches inches and points at an angle of degrees TGH has magnitude TGH = CCW from horizontal. = 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 81.28 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 C that points from point C to point A. A c.) If rope AB carries a tension force of magnitude FT = 656 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. C 2013 Michael Swanbom Cc 10 BY NC SA Z b B y 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 114.3 cm 51.61 cm a. FAD = ( b. CA = ( > C. FT = ( = 2 + j+ k) cm 2 + + k) + k) N Two cables AB and AC are acting on the pole with forces FAB = 420N and FAC = 840N with parameters defining the attachment points shown in the table. We want to write the vector FAB in cartesian vector form. C X Y2 N FAC A FAB L 1 B X1 y parameters value units FAB 420 N FAC 840 N L 5 m x1 2 m Y1 3.5 m x2 2.5 m Y2 3.5 m Write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. + FAB = + + 18 N