Numerade

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Reversible vs. irreversible expansions. $V_f, T$ $\vec{F}_{fric} \propto -\vec{v}$ $V_i, T$ $\vec{F}_g = m\vec{g}$ Figure 2: The piston moves inside the cylinder. The friction force acts against the movement of the piston. An external force $mg$ is applied downward during an irreversible expansion. The final position of the piston is the state of mechanical equilibrium when the force caused by the pressure of the gas equals the external force.

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The law of increasing opportunity costs causes the production possibilities curve to: a. shift inward. b. have a bowed-out shape. c. slope upwards. d. be a straight line.

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In which one of the following types of samples would you NOT expect to find bacteria (normal flora)? A Faeces B Saliva C Skin swab D Urine E Nasal Swab

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Tube Number Additives 1 2 3 4 5 6 3ml amylase 3ml amylase 3ml water 3ml water 3ml amylase - 5ml saliva BOILED Test 3ml starch 3ml water 3ml starch 10 drops HCl 3ml starch 3ml starch Carbohydrate Incubation 37°C-30 min 37°C-30 min 37°C-30 min 37°C-60 min 37°C-30 min 37°C - 30 min conditions Lugol's lodine Negative Negative Positive Positive Positive Positive Test (for starch) Benedict's Test orange/red blue blue blue blue-green yellow (for maltose)

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1. The driven shaft in Fig. 1 is made of 1030 HR steel ($S_{u,T} = 500 \text{ MPa}$, $S_y = 270 \text{ MPa}$, $E = 180 \text{ GPa}$). The output pulley tensions are $T_1 = 2720 \text{ N}$ and $T_2 = 272 \text{ N}$, respectively. The fillet radii at the shouldered sections of the shaft are related by $r = (D - d)/2$. At the critical point on the shaft, calculate the relevant fatigue stresses and the fatigue factor of safety using the ASME-elliptic criteria. Is the shaft in danger of first-cycle yield?

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On January 1, 2020, Pharoah Corporation issued $690,000, 6%, 10-year bonds at face value. Interest is payable annually on January 1. Pharoah Corporation has a calendar year end. Prepare all entries related to the bond issue for 2020. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.) 2020 Account Titles and Explanation Debit Credit

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For the following, find the area of the surface obtained by rotating the given curve about the y-axis. $x = 3t^2, y = 2t^3, 0 \le t \le 5$

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The bar is made up of AISI 1006 cold-drawn steel and is loaded by a force F = 0.55 kN, P = 4.0 kN, and t = 25 N.m. For material AISI 1006 cold-drawn steel, the yield strength Ïƒ = 280 MPa. Calculate the principal normal stress.

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Interactive Practice: Write and Evaluate Expressions with Exponents (1) Legend is making two boxes. The large box is a cube with a side length of s. The small box is a cube with a side length that is 2 inches shorter than the large box. Which expression represents the volume of the large box? $s^3$ Which expression represents the volume of the small box? $(s - 2)^3$ () The large box has a side length of 7 inches. What is the volume of the small box? () The volume of the small box is in.$^3$.

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ii. The area of quadrilateral PQRS is 40cm². If the area of \triangle PQR = \frac{3}{5} of the area of quadrilateral PQRS, find the area of \triangle PRS.

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