(Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula:
I is the second moment of inertia (m4).
a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result.
b. Include the function written in Exercise 5a in a working
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C++ for Engineers and Scientists
- (Fibonacci) The Fibonacci series0, 1, 1, 2, 3, 5, 8, 13, 21, …begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the twopreceding terms. a) Write a nonrecursive function fibonacci(n) that calculates the nth Fibonaccinumber. Use unsigned int for the function’s parameter and unsigned long long int for its returntype. b) Determine the largest Fibonacci number that can be printed on your system.arrow_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_forward2. Given the following function. Factorize and find the product of sums expression for the function (simplify if needed) F= bc + ad'arrow_forward
- Q27) An approximation for the exponential function can be found using what is called a Maclaurin series: x' x? x3 et x 1+ 1! + +... 2! 3! Write a program to investigate the value of e and the exp function.arrow_forward(Practice) The volume, v, and side surface area, s, of a cylinder are given by these formulas: v=r2ls=2rl r is the cylinder’s radius, and l is its length. Using these formulas, write and test a function named cylinder() that accepts a cylinder’s radius and length and returns its volume and side surface area.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
- -Convert SES variable to a factor and assign the value labels “low”, ”middle” and “high” to the 3 levels of thevariable. Then -Define the variables complic, comorb, depressi, diabetes as factors. For all these factors, a zero means “no” and a 1 means “yes”. Assign these value labels through the function factor() and check the change using str()arrow_forwardUsing the code and the function abovearrow_forwardCalculate the value of g and h in the following equation.arrow_forward
- In matlab code Find the velocity of mars, earth, venus. In the descent phase of an extraterrestrial space mission, a spacecraft free falls through the planet's atmosphere. As it falls, it will reach a constant or terminal velocity when the air resistance force balances the gravitational attraction force. The terminal velocity is given by V₁ = where m is the spacecraft's mass [m], g is the acceleration due to gravity on the planet, p is the atmosphere's density [kg/m³], Cp is the spacecraft's drag coefficient, and A is the spacecraft's cross-sectional area [m²]. a) Write a function named terminalVelocity which calculates the terminal velocity an object. The function should . 2mg pCDA input m, g, p, CD, and A output the terminal velocity b) Write a program named q03.m which calculates the terminal velocity of a spacecraft at 10 km above the surface of various planets. The spacecraft's properties are m = 240 [kg], A= 15 [m²], and Cp = 0.5. The program should use the gravity and terminal…arrow_forward5. The function y = a + b ·x² is a solution to one of these differential equations for all a and all b. Using dsolve, find the DE. a. y y" (y)² = 0 b. xy'-y (1 + x) = 0 c. xy" - y' = 0 d. xy" + y = 0arrow_forward(Algebra: solve quadratic equations) The two roots of a quadratic equation ax? + bx + c = 0 can be obtained using the following formula: -b + VB - 4ac and -b - VB - 4ac 2a 2a b - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0, display one root. Otherwise, display "The equation has no real roots."arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr