A uniform rod of flexural rigidity EI is bent and loaded as shown. Loads P and F and point E are at section midpoints. Using Castigliano's Theorem determine: a) The vertical and horizontal deflection of point D. b) The slope of CD at point E. 21 B C F Show All EQ Detailed Work A D
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- 3. Fizen Lures Inc. manufactured fishing lures. Their most popular lure is a Bass plug which uses a hook purchased from another manufacturer and polystyrene for the body of the lure itself. The company uses highly automated injection molding machines to manufacture lures. Because of this direct labor cost are at a minimum because one machine operator can operate three injection molding machines at same time. The company has developed the following standard costs include scrap to manufacture each lure: Material standards: Hook: 1.1 Hooks per lure at $.10 per hook. Polystyrene plastic: 3.5 ounces per lure at $.25 per Labor standards: ounce. Direct labor: .005 hours to produce one lure at $23.50/hr. including all employer payroll taxes and benefits. During month of April the company manufactured 120,000 Bass lures and incurred the following costs: Material costs: Purchased 30,000 pounds (480,000 ounces) of polystyrene for a total cost of $144,000 dollars. Used 418,000 ounces of…The force of a spring obeys Hooke's law: F = -kx for some positive constant > 0, where x = x(t) measures the displacement from its rest position of a particle of mass m > 0 attached to the spring. i. Use Newton's Second Law to show that the equation of motion of the particle is +w²x=0. Determine w in terms of k and m. Find the solution to this equation if the particle is released at time t 0 from position x = 4 with = velocity 2w. ii. Show that = 1 w2 E = + 2 is a conserved quantity of the motion. What is the value of E for the above solution. What is the meaning of the two terms on the right hand side?Sketch the region bounded by the curves x=y34,x=2, and y=0 then find the volume of the solid generated by revolving this region about the y-axis. I need answer typing clear urjent no chatgpt used i will give upvotes
- Suppose there is now friction and the equation of motion becomes x+2yx+w²x = 0, where 0 is some constant of friction. γ i. Find the general solution for x(t), under the assumption that w. You do not need to impose initial conditions here. ii. What is the range of for which the above solution is (1) heavily damped; (2) lightly damped. What happens to the above solution and the physical system when y = w?The intercept (straight line) on a graph of the linear cost function represents ....... costIn the diagram shown below, the four currents are assumed to be held in place at their current locations. The currents have the following values: IA = 3.000 A, IB = 3.000 A, Ic 1.000 A and ID 2.000 A. Let d = 12.500 cm and assume standard x- and y-axes at point P1. (Be careful about signs!) AO 3d The magnitude of the total magnetic field at point P1, in μT and to three decimal places, is d P1
- What is the Riemannian metric? A) A function that defines the inner product of tangent vectors at each point on a manifold B) A function that measures the curvature of a surface C) A function that defines the volume of a manifold D) A function that determines the Euler characteristic of a manifoldPlease show all work ง 5. Evaluate the vector surface integral JJ (+2², x + 2y + 32², 5x − 2y + 2³) . Ndo. S Here, S is the sphere Sy²+2 1. = Since S is a closed surface, the outside of S is considered as the positive side on S. Hint: use the divergence theorem.In the context of of cubic interpolation as discussed in the lecture, in order to find the cubic interpolating line one must use parsimonious methods solve a linear system where the unknow variable is time. must solve a linear system in two equations a two varibles. select four rates. solve a cubic system. solve a cubic system of four equations in four variable where the unknown is time select two rates find the slope and the intercept of the interpolating line ☐ approximate the term structure
- Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.A system is described by the action S[r, r'] = [ dt (x² + 4rª + mr³4), r(t) where m is a constant. Find the Euler-Lagrange equation for r = which extremises S. Interpret each of the terms that appear in the Euler- Lagrange equations in terms of Newton's second law. Find a conserved quantity for this system.The linear equation method of determining breakeven in units is superior to other methods of calculating the breakeven because: A. it uses algebra to calculate the breakeven point. B it is the equation for a straight line. C. is the most accurate method of calculating the breakeven point. None of the above. I П