About 3307 results. 1294 free access solutions
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m101419 | Use Poisson s equation to compute the electric potential over a unit square (1 × 1) plate with zero voltage at the edges and point charge sources of ρv/ε (0.7, 0.7) = 1 and pv/ε (0.3, 0.3) = -1. Employ Δx = Δy = 0.1 and display your results as a contour plot. |
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m101437 | Use the following differential equations to compute the velocity and position of a soccer ball that is kicked straight up in the air with an initial velocity of 40 m/s:
Where y = upward distance (m), t = time (s), y = upward velocity (m/s), g = gravitational constant (= 9.81 m/s2), cd = drag coefficient (kg/m), and m = mass (kg). Note that the drag coefficient is related to more fundamental parameters by
Cd = ½ pACd
Where r = air density (kg/m3), A = area (m2), and Cd = the dimensionless drag coefficient. Use the following parameter values for your calculation: d = 22 cm, m = 0.4 kg, r = 1.3 kg/m3 and Cd = 0.52. |
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m101442 | Use the golden-section search to determine the length of the shortest ladder that reaches from the ground over the fence to touch the building s wall (Fig. P13.22). Test it for the case where h= d = 4m.
Figure P13.22 |
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m101566 | You are working as a crime-scene investigator and must predict the temperature of a homicide victim over a 5-hr period. You know that the room where the victim was found was at 10∘C when the body was discovered.
(a) Use Newton s law of cooling (Prob. 1.14) and Euler s method to compute the victim s body temperature for the 5-hr period using values of k = 0.12/hr and Δt = 0.5 hr. Assume that the victim s body temperature at the time of death was 37∘C, and that the room temperature was at a constant value of 10∘C over the 5-hr period.
(b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10∘C over the 5-hr period. Repeat the same calculation as in (a) but incorporate this new information.
(c) Compare the results from (a) and (b) by plotting them on the same graph. |
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m101567 | You buy a $20,000 piece of equipment for nothing down and $4000 per year for 6 years. What interest rate are you paying? The formula relating present worth P, annual payments A, number of years n, and interest rate i is |
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m101569 | You measure the following deflections along the length of a simply-supported uniform beam
Employ numerical differentiation to compute the slope, the moment (in N m), the shear (in N) and the distributed load (in N/m). Use the following parameter values in your computation: E = 200 GPa, and I = 0.0003 m4. |
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m101570 | You must determine the root of the following easily differentiable function,
e0.5x = 5 - 5x
Pick the best numerical technique, justify your choice and then use that technique to determine the root. Note that it is known that for positive initial guesses, all techniques except fixed-point iteration will eventually converge. Perform iterations until the approximate relative error falls below 2%. If you use a bracketing method, use initial guesses of xl = 0 and xu = 2. If you use the Newton-Raphson or the modified secant method, use an initial guess of xi = 0.7. If you use the secant method, use initial guesses of xi-1 = 0 and xi = 2. |
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