A bridge is built in the shape of a parabolic arch. The bridge has a span of s = 140 feet and a maximum height of h= 25 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center. Find the height of the arch at a distance of 10 feet from the center. feet (Round to two decimal places as needed.) Find the height of the arch at a distance of 30 feet from the center. feet (Round to two decimal places as needed.) Find the height of the arch at a distance of 50 feet from the center. feet (Round to two decimal places as needed.)

For the 2d coordinate system below, complete the following: a) Break up the force vector into Fx and Fy components; show these components on the figure. Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction b) Draw a position vector from the origin (0) to the tail (point a) of the force vector c) Break up the position vector into rx and ry components; show these components on the figure Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction d) Calculate the "moment" of force F about the origin by multiplying F times its perpendicular distance from the origin (ry), and add the product of Fy times its perpendicular distance from the origin (rx). Assume that a counterclockwise rotation about the origin is a "positive" moment. Think of rx as a string connected to the origin. If you pull the string in the direction of d, will that cause a clockwise (-) or…

Three chains act on the bracket such that they create a resultant force having a magnitude of 500 lb. If two of the chains are subjected to known forces, as shown, determine the angle of the third chain measured clockwise from the positive x axis, so that the magnitude of force F in this chain is a minimum. All forces lie in the x–y plane. What is the magnitude of F? Hint: First find the resultant of the two known forces. Force F acts in this direction. show the formula and the exact solution.

SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes, the forces at which all the members of the following trusses work. Place the results of each force in the members of the truss drawing for qualification. 1200 N 300 N A B oolco 0.00 3 m E 4 m 4 m