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- The 50-ft measuring tape weighs 2.4 lb. Compute the span L of the tape to four significant figures.The bar ABC is supported by three identical, ideal springs. Note that the springs are always vertical because the collars to which they are attached are free to slide on the horizontal rail. Find the angle at equilibrium if W = kL. Neglect the weight of the bar.How many turns of rope around the capstan are needed for the 40-lb force to resist the 8000-lb pull of a docked ship? The static coefficient of friction between the capstan and the rope is 0.25.
- The space truss ABCD in the shape of a tetrahedron is suspended from three vertical links. Assuming that all connections are ball-and-socket joints, draw the FBD of the truss and count the unknowns.Cable AB supports the uniformly distributed load of 4 kN/m. If the slope of the cable at A is zero, compute (a) the maximum tensile force in the cable; and (b) the length of the cable.Bar AB of negligible weight is supported by a ball-and-socket joint at B and two cables attached at A. Draw the FBD for the bar, recognizing that it is a two-force body. Determine the number of unknowns.
- The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.Draw the correct Free Body Diagram (FBD). Solve the tensile force developed in each cable necessary to support the streetlight, which has a weight of 3kN. Its height, y is 4m.the pipe AB is screwed in tightly to a pipe flange attached to the wall. It has two forces acting on it as shown below. Draw a complete FBD of the bar (its loads and support reactions). FB= (2i + 6j + 3k) kNFc= (1i - 2j + 2k) kN
- The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can balance a massive object. If a 3kg counterweight S is used to balance a 120kg load L, what is the value of 'x'? Draw all pertinent FBDs. Use g=9.806 m/s2.For Fz= 200 lb and all other forces zerodetermine the factor of safety of member B-C halfway between B and C. Steel, Sy = 36ksiDraw the FBD for bar BCD The connections at A and B are ball-and-socket joints, C is a slider bearing, and D is a thrust bearing. Assume that the weights of members are negligible and recognize that AB is a two-force member How many unknowns appear on the FBD? Solve for the unknowns.