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eileen mulet

eileen m.

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Texts: #66- Determine the convergence or divergence. Methods covered so far: 47. 1 + √n^2 + 9 48. cos(n) / √n^2 + 50 49. cos(√n) / √n^3 + √n^2 + 12 + sin(n) - (√n)^12 / √n^9 + 8 / 2n 50. √n + √n + 1 51. n(√n)^2 52. 12 - 4(√n)^3 / 2n^3 53. √n: 2 + (-1)^n / √n^3/2 54. An = 1 + 9 / √(4/5)n 55. √n^3/2 ln(n) 56. 41 / √k 57. 59. M = 1 / (√n)^4 58. 61. 63. √n^(-1) + (-1)^n 59. 65.

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5. (Lagrange equations in spherical coordinates for the central force problem; 15 points) A particle of mass $m$ moves in three dimensions under the influence of a central potential $V(r)$. Using spherical coordinates as generalized coordinates answer the following: a) Write explicitly the Lagrangian in spherical coordinates. b) Find the explicit Lagrange equations in spherical coordinates. Recall that the spherical coordinates $(r, \theta, \phi)$ are related to the Cartesian coordinates with the following transformation equations: $x = r \sin\theta \cos\phi$ $y = r \sin\theta \sin\phi$ $z = r \cos\theta$ (1)

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(TCO 3) Convolving x(t) with h(t) is equal to multiplying H(s) with X(s). dividing H(s)by X(s). dividing X(s)by H(s). convolving X(s) with H(s).

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The hoist shown below consists of two bars both with Young's modulus 1800 ksi. Their cross-section geometries are also shown. The length of the BC bar ($L$) is 48 in. The maximum allowable stress magnitude for both bars is 2 ksi. Determine the maximum permissible weight $W$ that can be lifted. D B B 12 in 3 in x A 30° C 2 in 2 in B A L Cross section AA Cross section BB Z W P = W Hint: Draw the force balance at point C, and then use the forces along DC and BC to obtain the stresses carried by these two bars. The tensile stress in DC and compressive stress in BC both need to be within 2 ksi. In addition, the force in BC needs to be smaller than the critical buckling load. Answer: 2.31 kips

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Sole Purpose manufactures beach shoes that use a canvas as the main raw material. Data related to the shoes for June follows: Standard quantity per unit of output (yards) 4.0 Standard Price (SP) per yard $11.50 Actual materials purchased in yards 16,500 Actual cost of materials purchased $84,100 Actual materials used in production (yards) 8,500 Actual outputs in units 4,000 What is the materials quantity variance for canvas for June? A. $86,250 favorable B. $92,000 unfavorable C. $86,250 unfavorable D. $92,000 favorable

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Marvel Parts, Incorporated, manufactures auto accessories. One of the company's products is a set of seat covers that can be adjusted to fit nearly any small car. The company has a standard cost system in use for all of its products. According to the standards that have been set for the seat covers, the factory should work 1,000 hours each month to produce 2,000 sets of covers. The standard costs associated with this level of production are: Per Set Covers Total $41,400 $8,000 Direct materials $3,400 Direct labor $26.40 Variable manufacturing overhead (based on direct labor-hours) $3,400 During August, the factory worked only 1,050 direct labor-hours and produced 2,400 sets of covers. The following actual costs were recorded during the month: Per Set Covers Total Direct materials (7,500 yards) $10,080 Direct labor $5,040 Variable manufacturing overhead $3,400 At standard, each set of covers should require 3.0 yards of material. All of the materials purchased during the month were used in production. Required: Compute the materials price and quantity variances for August. Compute the labor rate and efficiency variances for August. Compute the variable overhead rate and efficiency variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

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Question 1: In the figure below, a particle starts from rest at x = 1.0 cm and moves straight to x = 2.0 cm. Determine its speed at x = 2.0 cm. The mass of the particle is 5.0 x 10$^6$ g and its charge is 2.0 x 10$^{-19}$ C.

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Question 21 ( Two students did an experiment where they exploded three masses, initially connected together, as shown in the diagram. Marks Before they analysed their results, each student made a hypothesis about the result. Tom's hypothesis: The results will show that both momentum and kinetic energy will be conserved in this process. My evidence will be that the vector sum of each after the explosion will be a closed figure. Carol's hypothesis: Momentum will be conserved in this process, but kinetic energy will not. My evidence will be a closed vector diagram for the momentum, but an open vector diagram for the energy. In terms of principles of physics involved, evaluate the two students' comments and, if incorrect, provide the correct statement. 3

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'PROBLEM 5.13 ku2 Locate the centroid of the plane area shown'

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If the demand for concerts is inelastic, then raising the price of the concert tickets will increase the total revenue for the concert promotions. True False

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