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Deflection of beams: $$\Delta x = \frac{Fl^3}{3EI} (fixed/free), \Delta x = \frac{Fl^3}{12EI} (fixed/guided), \Delta x = \frac{Fl^3}{192EI} (fixed/fixed)$$ Moment of inertia for rectangular beams: $$I = \frac{wt^3}{12}$$ The net force on the mass of simple capacitive acturator at a given voltage (V) and gap (g): $$F_{net} = - \frac{\epsilon AV^2}{2g^2} + k(g_0 - g)$$ B1. Fixed-fixed springs are often used to support more load compared to other springs. Often, a plate is supported by many beams. In these cases, both ends of the beam are fixed, with all degrees of freedom limited. The beam is subjected to a concentrated force $$F_1$$ at the center of beam as shown in Figure B1. The Young modulus of beam is $$E = 190$$ GPa. $$F_1$$ 2.5 cm 5 cm Beam thickness = 0.2 cm Beam width=1 cm Figure B1 (a) Determine the moment of inertia of the beam. (4 marks) (b) Determine the deflection of the beam when $$F_1 = 10$$ N. (6 marks) (c) Determine the spring constant of beam. (10 marks)

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A sample of 12 in-state graduate school programs at school A has a mean tuition of $64,000 with a standard deviation of $8,000. At school B, a sample of 16 in-state graduate programs has a mean of $80,000 with a standard deviation of $6,000. On average, are the mean tuitions different? What is the p-value? Group of answer choices 0.00003 0.00000 0.00001 0.00002

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What is it called when several individuals get together and generate creative ideas ? brainstorming group think cognition metacognition

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EE 426/526, Fall 2023, Homework 9 - Bang-Bang Control Bang-Bang control, also known as On-Off control, is likely the most widely used type of control. It is also highly NON-linear. None of the math we have learned in this course applies! :-) In this Homework, you are to work with a Bang-Bang controller in a MATLAB simulation. Page 1/1 Start with the MATLAB file at Canvas / EE 426 / Files / matlab / bang_bang_control.m Modify the code to meet the homework requirements. Be sure to change the comments at the top of the code to include your name, this course, and the dates of your changes. Implement the same transfer function from your PID Homework (#8) Run this simulation and observe the time response of the plant. Note that the command and the plant output always oscillate with Bang-Bang control. Experiment with different command values (command_high) and observe the effect these values have on the output oscillations. Some values will produce faster oscillations, some will produce slower oscillations. Some values will produce tighter control, and others will produce much looser control. Weaker control values may have looser control. Weak enough commands may completely lose control authority. Paradoxically, stronger control commands can actually produce more error in the output, because the plant will have inertia that will cause bigger swings. Write and submit a short, informal report describing your experiments with Bang-Bang control. In this report, include: • A range of values that produce moderately good control, • Transient graphs of the system response for a couple of good command values, • An example or two of bad control commands, with graphs that they produce, and an explanation of why these values are not acceptable, • An appendix containing your MATLAB code with the good control constants. Good Luck and Have Fun! :-)

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08:58 d. {(a, 2)} QUESTION 19 Let f be a function on Z+ (the set of positive integers) defined by (x, y) E f iff y = 2x²-7 (f C Z+ ? Z+) The relation f is NOT surjective. Which of one of the following values for y provides a counterexample that can be used to prove that f is not surjective? Select one: a. y = 12 b. y = 1 c. y = 25 d. y = 43 QUESTION 20 Suppose U = {1, 2, 3, 4, 5, a, b, c} is a universal set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the following relations represents a surjective function from U to A? Select one: a. {(a, 4), (c, c), (5, 1), (3, a), (4, 2), (b, b), (1, 3)} b. {(1, 1), (3, 3), (5, c), (2, 2), (4, 4), (c, a), (b, b), (a, b)} c. {(1, 4), (2, 3), (3, 2), (4, 1), (a, c), (b, b), (c, a)} d. {(1, c), (2, c), (3, c), (4, c), (5, c), (a, c), (b, c), (c, c)} QUESTION 21 III <

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Based on the image below, when the transcription factor (TF) is bound to the nucleic acid, it: TF RNApol TF Promoter Reporter Gene Transcription RNApol Promoter Reporter Gene [Note: RNApol = RNA polymerase] O suppresses reporter gene expression O activates reporter gene expression O suppresses reporter gene replication O activates reporter gene replication

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Let X1, ..., Xn be a random sample from b(1, p). For the sample sum Y = ∑n i=1 Xi and mean ̄X = ∑n i=1 Xi / n: (a) What is the (sampling) distribution of Y? Hint: the exact distribution of Y, not the CLT approximation. (b) Using the distribution of Y from (a), what are the mean and variance of ̄X? (c) Use this as an example to demonstrate using the sample proportion to estimate p: To estimate the true proportion p of students who love statistics, we take a random sample of students with a sample size of 100, and take the value 1 if the student loves statistics and 0 otherwise. If the true proportion p = 0.5, what is the probability that the sample proportion ˆp satisfies 0.45 ≤ ˆp ≤ 0.55? (i.e. very close around the true proportion) Hint: ˆp = Y/n. Use the distribution of Y from (a).

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Edna is a 66 year-old retired subway conductor who spent thirty years working with subway trains. She complains that her granddaughter mumbles and does not "speak up." Edna is most probably affected by: ? dead hair cells ? closed oval or round window ? punctured tympanic membrane ? immobilized ossicles

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Figure P10.36 10 ? Ic j10 ? j10 ? j20 ? • Ib Id 50\0° + Ia Ie 10 ? If -j10 ? V (rms) 10.37 a) Find the average power delivered to the 8 ? resistor in the circuit in Fig. P10.37. b) Find the average power developed by the ideal sinusoidal voltage source. c) Find $Z_{ab}$. d) Show that the average power developed equals the average power dissipated.

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Dennis was very outgoing when he was a child, but became more and more introverted as he got older due repeated negative experiences associated with being outgoing. What type of biological explanation of behavior would be the most appropriate for this situation? Physiological Ontogenetic (developmental) Evolutionary Opponent process

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