Numerade

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QUESTION: A cable with negligible mass is connected to a crate with a mass of 5.00 kg that is resting on a smooth, flat surface. The cable then passes over a light, smooth pulley. Another crate, with mass m, is attached to the other end of the cable. The crates are released, leading to a tension of 20.0 N on the cable. Compare the tension (T) to the weight (w) of the hanging crate. ANSWER OPTIONS: A T = 1.69 w B T = 0.59 w C T = 0.617 w D T = 1.621 w

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Solve $2x^2y'' + xy' - 3y = 0$ where $y_1 = x^{-1}$ is a given solution of homogeneous part of the differential equation.

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Why are heat capacities of reactants and products required for calculations of ∆rH ~ at elevated temperatures?

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Which part of the brain is alleged to differ between heterosexual men and women and where the cells of homosexual men are more similar to those found in women? cerebral cortex hypothalamus pituitary gland frontal lobe

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What are the challenges in measuring and designing work systems for industries with high levels of product customization?

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Use the fundamental Theorem of Calculus to evaluate the definite integral $2\pi \int_0^1 (y+1)\sqrt{1-y} dy$

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(simulink matlab) 27 V 20 kHz R1 10 ? R2 10 ? L1 10 ?H L2 18 ?H for i1(0)=0 and i2(0)=0, find and plot i1(t) across R1 and i2(t) across R2

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Problem 1: (20pts) The temperature distribution within a laminar thermal boundary layer associated with flow over an isothermal flat plate is shown in the sketch. The temperature distri- bution shown is located at $x = x_2$. (a) Is the plate being heated or cooled by the fluid? (b) Carefully sketch the temperature distributions at $x = x_1$ and $x = x_3$. Based on your sketch, at which of the three x-locations is the local heat flux largest? At which location is the local heat flux smallest? (c) As the free stream velocity increases, the velocity and thermal boundary layers both become thinner. Carefully sketch the temperature distributions at $x = x_2$ for (i) a low free stream velocity and (ii) a high free stream velocity. Based on your sketch, which velocity condition will induce the larger local convective heat flux?

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A transverse electromagnetic wave (TEM) in a coaxial waveguide has an electric field $\mathbf{E} = \mathbf{E}(\rho, \phi)e^{i(kz-\omega t)}$ and a magnetic induction field of $\mathbf{B} = \mathbf{B}(\rho, \phi)e^{i(kz-\omega t)}$. Since the wave is transverse, neither $\mathbf{E}$ nor $\mathbf{B}$ has a z component. The two fields satisfy the vector Laplacian equation $\nabla^2 \mathbf{E}(\rho, \phi) = 0$ $\nabla^2 \mathbf{B}(\rho, \phi) = 0.$ (a) Show that $\mathbf{E} = \hat{\rho} E_0(a/\rho)e^{i(kz-\omega t)}$ and $\mathbf{B} = \hat{\phi} B_0(a/\rho)e^{i(kz-\omega t)}$ are solutions. Here a is the radius of the inner conductor and $E_0$ and $B_0$ are constant amplitudes. (b) Assuming a vacuum inside the waveguide, verify that Maxwell's equations are satisfied with $B_0/E_0 = k/\omega = \mu_0 \epsilon_0 (\omega/k) = 1/c.$

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Painter (B) Kindness Medical Centre uses patient-visits as its measure of activity. During May, the centre budgeted for 3,800 patient-visits, but its actual level of activity was 4,100 patient-visits. The centre has provided the following data concerning the formulas used in its budgeting and its actual results for May. Data used in budgeting: Fixed Variable element element per per month patient-visit Revenue..................................... $30.80 Personnel expenses........................ $26,000 Medical supplies........................... $1,800 Occupancy expenses....................... $7,900 Administrative expenses................... $6,000 Actual results for May: Revenue..................................... $125,710 Personnel expenses........................ $66,800 Medical supplies........................... $24,940 Occupancy expenses....................... $11,560 Administrative expenses................... $7,620 REQUIRED Prepare a report showing the centre's revenue and spending variances for May. Label each variance as favorable (F) or unfavorable (U). (8 marks) (Total: 20 marks)

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rebecca k.