A crate weighs 890 lb and 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 = 47 in above the top of the crate directly over the geometric center of the top surface. Use the dimensions given in the table below to determine the tension in each of the three ropes. 2013 Michael Swanbom cc 10 CC BY NC SA Z C b y a D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 34 in b 45 in The tension in rope AB is pounds The tension in rope AC is pounds The tension in rope AD is pounds A block of mass m hangs from the end of bar AB that is 7.1 meters long and connected to the wall in the xz plane. The bar is supported at A by a ball joint such that it carries only a compressive force along its axis. The bar is supported at end B by cables BD and BC that connect to the xz plane at points C and D respectively with coordinates given in the figure. Cable BD is elastic and can be modeled as a linear spring with a spring constant k = 500 N/m and unstretched length of 6.17 meters. Determine the mass m, the compressive force in beam AB and the tension force in cable BC. Z D (c, 0, d) C (a, 0, b) A e B y f m X cc 10 BY NC SA 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 8.1 m b 5.7 m 3.4 m d 6.5 m e f 4.7 m 5.8 m The mass of the block is The compressive force in bar AB is The tension in cable BC is kilograms. Newtons. Newtons. A puck weighs 12 lb and rests on the center of the frictionless surface of the ramp supported in equilibrium by ropes AC and BC. Determine the normal force the ramp exerts on the puck as well as the tension in each of the two ropes. g 09 A X a N e C b B d C y Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 32.0 in b 36.8 in 7.36 in d 14.4 in e 40.0 in f 12.9 in g 20.6 in The normal force acting on the puck is The tension in rope AC is The tension in rope BC is pounds pounds pounds