(Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol):
Volume of a sphere
The volume of a single atom is approximately
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C++ for Engineers and Scientists
- (Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ftarrow_forwardEliminate useless variables and symbols. Afterwards, convert to Chomsky Normal Form. (Start variable S) S -> ABBC | BA A-> abB | aa B -> bB | Aa C -> Cb | aCarrow_forward(proof by contraposition) If the product of two integers is not divisible by an integer n, then neither integer is divisible by narrow_forward
- P5. ( Boolean Algebra Circuit. (1) Transform the following Boolean equation in SOP form to POS form: Y = F(A, B, C, D) = ĀB + CD (2) Expand the following Boolean equation into a sum of minterms, where each minterm should have the three input variables in their original or complement forms. Y = F(A, B, C) = AC + AB (3) Simplify the following Boolean equations using Boolean theorems. For each step in the minimization process, show which theorem or axiom or method or definition is used to get there. Y = ABC + B + AC + B (4) Transform the following Boolean equation to an equation that only has 2-input NAND gate(s) and/or NOT gate(s). You are not required to draw a schematic. Y = A + B + Carrow_forward( Answers to be solved with proper steps and uploaded within one file into Moodle) Determine the complement of the given expression and then simplify using appropriate rules and laws Y=(C’B’A’+C’BA+CB’A)arrow_forwardQ.2: Write Regular Expression for the following automation by using Kleene's Theorem (q, is the final state). 90 ga 9b qc a barrow_forward
- (Do it on R) Please find and solve the attached problem belowarrow_forward1. Derive the modified distance formula if we want the projectile lands on a hill that has a height of h(x) (the function x increases monotonically), at a distance R. Write F(x) whose roots must be found in order to find the angle initial, given the initial velocity V0. (With python 3)arrow_forwardQ2) Apply DeMorgan's theorems to the expressions:- 1) (AB'.(A + C))+ A'B.(A + B+ C") 2) ((A+BC')+D(E+F')) 3) A + BC + D(E + F)arrow_forward
- 24 ) There are ABCDE Variables. (5 Variables) In the following cases, logic expression returns 1. A B C D E 1 1 1 1 1 1 1 1 1 1 1 1 1 *Reduce the function ( by using third order MEV method and K-map) And write the logical Expression. And Draw the Circuit.arrow_forward(a) Complete the following Table 1 by writing the infix and postfix expressions, respectively. (Note: Write curve bracket i.e() if necessary for the infix expression; use character x for multiplication; no spacing for answers) Table 1 Infix Postfix (A+B) / (CXD) AB/CD+X (b) Calculate the final value of the following postfix expression. Consider each number is represented in one digit decimal value. 23^2*6-82/11+/+ Answer =arrow_forward(Python) Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: x = 3 , y = 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: "There is no solution" You can assume the two equations have no more than one solution. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in second equation, dx + ey = f '''d = int(input())e = int(input())f = int(input())arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr