Let us consider the given function as f(x,y) = 5−(x−2)^2−2⋅(y−1)^2 and the constraint as g(x,y) = x+4y−3 We can use Lagrange multipliers to find the maximum or minimum value of the function. i.e, L = f-λg Then we have to differentiate L w.r.t x and y and equate it to zero,which…

This program is to simulate the forward kinematics of a 2R Robotic Arm.   import matplotlib.pyplot as plt import math#Inputsl1=1 #length of link 1l2=0.5 #length of link 2n_values=10theta_start=math.radians(0)theta_end=math.radians(90)THETA=(theta_end-theta_start)/(n_values-1)theta1=[]theta2=[]for i in range(0,n_values):…

    *Data analysis is carried out by extracting the data from the file and plots the respective curve by taking the input from the user the dependent variable and independent variable the program automatically extracts the column name and label the P- V curve *In the final step from the PV diagram Area under…

  ABSTRACT In this Project, CFD analysis of a cylinder in which external flow takes place and running a baseline simulation and then calculating the Reynolds number and also the simulation end time. Then increase the Reynolds number by a factor of 20%, 40%, and 100% then run the transient flow simulation. Animations…

  Objective:- 1) To find lift and drag forces at different angle of attack of NACA0017 aerofoil 2) To plot the velocity and pressure cross-sectional plots  3) To analyse flow trajectories at different angle of attack over NACA0017 aerofoil.  Assumptions 1)Surface of aerofoil is smooth and roughness is considered…

  AIM:Parsing thermodynamics data.The thermodynamic properties for various species are given below.   clear allclose allclcf1 = fopen('thermo30.dat','r')Heading = fgetl(f1);% Global Temperaturesglobal_temp = fgetl(f1);for i = 1:3 comments{i} = fgetl(f1);enda = strsplit(global_temp,' ');global_low_temp = str2num(a{2});global_mid_temp…

This program is to simulate the forward kinematics of a 2R Robotic Arm.   import matplotlib.pyplot as plt import math#Inputsl1=1 #length of link 1l2=0.5 #length of link 2n_values=10theta_start=math.radians(0)theta_end=math.radians(90)THETA=(theta_end-theta_start)/(n_values-1)theta1=[]theta2=[]for i in range(0,n_values):…

  Objective  1) To carry out  analysis on made up centrifugal pump 2) To understand relationship between pressure ratio and mass flow rate Theory Centrifugal pump is device to create pressure difference across inlet and oulet. Surging is a one of criteria used for designing of pumps. It may be explained…

ABSTRACTIn this Project, Creating a 3D model of a flowbench and run flow analysis where the internal flow takes place and running a baseline simulation and then performing a grid dependency test(4, 5 & 6) at a particular valve lift(0.003) and also performing valve lift(0.001 -0.008) test at a particular grid size(5).…

When cycling the cyclist experiences a aerodynamic drag force which is the most important resistive force.The drag force can be calculated by knowing the density,frontal area,velocity,and the drag coefficient.The formula for calculating drag force is given by, Drag Force =(0.5*density*frontal area*drag coefficient*velocity^2).…

  This project was all about simulating the velocity of flow of water inside a pipe. The pipe created was a hollow pipe having diameter of 26 mm and inside diameter of 25 mm and the length 500 mm. Also three line probes were created at 95%, 90% and 85% of the length of the pipe to simulate the normalize velocity at…

  An Otto cycle is an idealized thermodynamic cycle that describes the functioning of a typical spark ignition piston engine. It is the thermodynamic cycle most commonly found in automobile engines.this code is to create a PV diagram and calculate the thermal efficiency of the engine.   # Otto Cycle Simulatorimport…

When cycling the cyclist experiences a aerodynamic drag force which is the most important resistive force.The drag force can be calculated by knowing the density,frontal area,velocity,and the drag coefficient.The formula for calculating drag force is given by, Drag Force =(0.5*density*frontal area*drag coefficient*velocity^2).…

*********** Remarks of the Evaluator ************ You have not evaluated goodness of fit Also, the way you have estimated error is inadequate for curve fitting, in curve fitting, the error is estimated in two ways  The sum of squares due to error (SSE) Root mean squared error (RMSE) Also, blindly increasing the degree…