Answer: c
Explanation: One equation is of equilibrium and the other conservation of moment about CG.
A steel bar of thickness h, to be used as a beam, is welded to a vertical support by two fillet welds as shown in the figure. Find the safe bending force F if the allowable shear stress in the welds is Tallow. a) F 4 Ꮴ d b. b с d h Tallow 50 mm 150 mm 50 mm 5 mm 140 MPa
3.3 The differential equations of a pair of masses M1, M2 sliding on a horizontal plane without friction and connected by a spring of spring constant pare Muqi = P(92-91)+f Maga=plqı - 92) where 91.9 are the displacements from the same reference point, and is the force applied to M . The only force on M2 is the force p(91-92) exerted by the spring. Using the state vector, control vector, and output vector, respectively tu=y, y= 2 . Find the...
2- A steel bar of thickness h, to be used as a beam, is welded to a vertical support by two fillet welds as shown in the figure. Find the safe bending force F if the allowable shear stress in the welds is Tallow a) F four Ho b h Tallow 50 mm 150 mm 50 mm 5 mm 140 MPa b) h Les d b d h Tallow 50 mm 50 mm 5 mm 140 MPa
An automatic spot-welding machine is used in an assembly plant. It is known that 5 percent of the welds made by the machine are defective. If 10 welds made by the machine are in spected at random, what is the probability of finding (a) no defective welds, (b) exactly one defective weld, (c) at least one defective weld, and (d) no more than one defective weld?
3. A two bar truss structure is shown in Figure 1. The coordinates of Points A, C and B are given by (0,0), (0, 10") and (10",0), respectively, in which the x-axis is from A to B and the y-axis is from A to C. Points A and C are fixed. The cross-sectional area of all members in inch?. A vertical point load, P, is applied at the tip of the structure, Point B. Based upon either the Principle of...
3. (a) S>P AG8.5 kcal/mol (b) S → P ΔG + 3.5 kcal/mol (c) S-P AG-3.5 kcal/mol (d) S-) P ΔG_-9.5 kcal/mol (e) S → P ΔG= +3.0 kcal/mol (f) S-) P ΔG__ 2.5 kcal/mol A. (5 points) Which reactions are spontaneous? B. Which reactions are not spontaneous? C. Which reaction(s) can "force" reaction (a) to proceed? D. Which reaction(s) can "force" reaction (e) to proceed? E. Which reaction can "force" both reaction (0) and (e) to proceed togethers at...
Java
6.11 LAB: Brute force equation solver Numerous engineering and scientific applications require finding solutions to a set of equations. Ex 8x + 7) = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for X and y in the range - 10 to 10 Ex: If the input is 8 7 38...
2. Symbolic analysis of supply and demand: The following demand and supply functions provide a relatively general description of a market: Qs = D + eP where P is the price, Y is a variable denoting income, and Qd and Qs are the quantity demanded and the quantity supplied. The constants A, b, c, D, and e have values greater than zero. (a) Identify the parameters, endogenous variables, and exogenous variables in the above system of equations. (b) Derive expressions...
Solve the following system of equations for z and for y: System of Equations: Value of z Value of y y-8+22 y- 56- 6z Solve the following system of equations for a and for b: System of Equations: Value of aValue of ib 4а + 2b 20 15a +5b60 Plot the following system of equations on the following graph. System of Equations: p 1+q Note: Use the orange line (square symbols) to plot the first equation, and use the blue...
13. The graph of f is shown. State, with reasons, the numbers at which f is not continuous. a) State, with reasons, the numbers at which fis not differentiable. b) 246 0 4 14. Trace the graph of the function and sketch a graph of its derivative directly beneath. a) b) c) 0 any differentiation formulas to find equations of the tangent line and normal line to the curve y at the given point P a) y (2x-3)2 at P-(1,...