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alexander williams

alexander w.

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Equilibrium 4-31. Determine tension T for static equilibrium of the system shown in Figure P4–31. P 60 kg FIGURE P4–31 T T1 T2 400 lb FIGURE P4–32 4-32. Determine tensions T, T2, and T3 for the system shown in Figure P4–32. T3

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In the space provided, write the balanced IONIC and NET IONIC equation (NH$_4$)$_2$SO$_4$ + KOH ? NH$_4$OH + K$_2$SO$_4$ lonic, sol. Ionic, sol. W. Elect. Ionic, sol. IONIC NET IONIC IONIC NET IONIC IONIC NET IONIC BaCl$_2$ + Na$_2$CO$_3$ ? NaCl + BaCO$_3$ lonic, sol. Ionic, sol. Ionic, sol. Ionic, insoluble HNO$_3$ + Al(OH)$_3$ ? H$_2$O + Al(NO$_3$)$_3$ St. Elect. Ionic, insoluble Ionic, sol. HCl + Mg(C$_2$H$_3$O$_2$)$_2$ ? MgCl$_2$ + HC$_2$H$_3$O$_2$ St. Elect. Ionic, sol. Ionic, sol. W. Elect. IONIC NET IONIC IONIC NET IONIC NH$_4$OH + HC$_2$H$_3$O$_2$ ? H$_2$O + NH$_4$C$_2$H$_3$O$_2$ W. Elect. W. Elect. Ionic, sol. Exp. 5.7

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If the current in a wire doubles, what will happen to the magnetic force? A. Quadruples B. Doubles C. Quarters D. Halves

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An AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by ΔV = ΔVmax sin(2𝜋ft) and the source frequency is 19.0 Hz, at what time t will the current flowing in this circuit be 78.0% of the peak current? ______ms

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2. (6 points) Write a rational function that has exactly one vertical asymptote, no hole, and a horizontal asymptote of y = 0. a. Write the function in factored form. b. List the vertical asymptote. c. List the x intercept(s), if any. d. List the y intercept, if any. e. Explain how you know that the horizontal asymptote of your function is y = 0. f. Draw your graph.

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(3) Non-Planar Free Body Diagrams For each of the following figures (points are per figure): 1. (2) Record any assumptions. 2. (10) Draw a free-body diagram of the system (which is underlined). 3. (3) State how many unique unknown loads are in the diagram (and list these unknowns). A lightweight aluminum bar is attached to a wall at A, and loaded at B and D as shown. Compute the moment of W about A. Gravity acts towards the bottom of the page. (b) (10) In this case, also compute the moment of F about A and express it as a vector, knowing that F has a magnitude of 200 kg. The winch assembly is holding a 100-kg packet in equilibrium, as shown. The Bearing at B is a journal bearing (that is part of a multi-bearing system) and the Bearing at A is a thrust bearing (that is part of a multi-bearing system). Hint: Refer to Table 4.2 for loads associated with nonplanar supports.

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A mass and pulley system is shown below. The two masses are m1 = 4.00 kg and m2 = 1.50 kg. If there is no friction, what is the Tension in the string between the masses and what is the magnitude of the acceleration of the system? A) T = 10.7 N and a = 2.67 m/s$^2$ B) T = 53.9 N and a = 9.80 m/s$^2$ C) T = 21.4 N and a = 7.13 m/s$^2$ D) T = 53.9 N and a = 2.67 m/s$^2$

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Suppose \(\alpha\) represents the radian measure of the angle in standard position shown below, with its initial ray located at the 3 o'clock position. What is the measure of the angle \(\alpha\)? (Express your answer in radians, rounded to two decimal places.) Hint: what is the radius of the circle, and how does this affect your computation? a. 0.95 radians b. 2.46 radians c. 2.80 radians d. 2.85 radians e. 2.92 radians

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Problem 10: a) Find the functions X and Y implemented by the following circuit.

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Find the parametric equations for the sphere centered at the origin and with radius 6. x(s, t) = y(s, t) = z(s, t) = where < s < and < t <

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