Develop a well-structured program to compute the velocity of a parachutist as a function of time using Euler's method. Test your program for the case where
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- As4. This is my third time asking this question. Please DO NOT copy and paste someone else's work or some random notes. I need an answer to this question. There is a mass attached to a spring which is fixed against a wall. The spring is compressed and then released. Friction and is neglected. The velocity and displacement of the mass need to be modeled with an equation or set of equations so that various masses and spring constants can be input into Matlab and their motion can be observed. Motion after being released is only important, the spring being compressed is not important. This could be solved with dynamics, Matlab, there are multiple approaches.arrow_forwardWrite an iterative computational model to predict and display the motion of a block of mass 60g that sits on the top of a vertical spring of stiffness 8 N/m and relaxed length 20cm. Use initial conditions that represent the block at rest on top of the spring, which has been pushed down until its total length is 10cm. Define a loop that moves the block under the force of gravity and spring force. Update the axis of the spring.arrow_forwardLearning Goal: To be able to add and subtract vectors using geometric and vector addition. A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled d₁ = 21.0 m at 0₁ = 26.0° from the tree then turned and traveled 4 = d2 11.0 m at 02 = 140°. Meanwhile, the sister traveled d3 = 17.5 m at an angle of 03-117° from the tree. The angles are given with respect to east with counterclockwise being defined as positive(Figure 1) Figure d3 03 d₂ 0₁ 0₂ d₁ 1 of 4 X > v Confect Part C Distance to home - After the boy has found his sister, they want to travel the shortest path home. If their home is located = d4 75 m due north of the big tree, what is the magnitude and direction of the displacement from the siblings to their home, dBGH?(Figure 4) Express your answers, separated by a comma, to three significant figures. Enter the angle measured…arrow_forward
- Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to the system of linear equations. Justification should be written on your solution paper. Transform the matrix into ROW ECHELON FORM (REF) using row operations. 2x +8y+ 6z = 20 4x+2y-2z =-2 3x-y+z = 11 Enter final answer: (x, y, z) =(arrow_forwardThe 2nd order ODE given below models the vertical fall of on Object under the influence of gravity and air friction md²y acceleration -mg + (1/2 Co A Pair) (dy) ² Forcing due logranty Forcing due to air frictionarrow_forwardA manufacturing company produces two types of products called X and Y. Each product uses four different machines like lathe, drilling, grinding & milling operations. The profit per unit of selling X and Y are 7 RO and 3 RO respectively. Formulate a linear programming model with the given constraints to determine the production volume of each product in order to maximize the total profit (in OR). Solve the following linear programming model by using Graphical method. Subject to, 6X + 4Y < 24 X + 2Y < 6 -X + Y< 1 Y< 2 and X,Y 2 0arrow_forward
- Introduce slack variables as necessary and then write the initial simplex tableau for the given linear Maximize z = x₁ + 9x2 programming problem. subject to x₁ + 2x₂ ≤ 12 6x₁ + x₂ ≤ 10 2x₁ + 2x₂ ≤8 with x₁ ≥0, X₂ ≥0 Complete the initial simplex tableau. X₁ X2 S₁ $2 $3 1 2 1 6 0 1 10 0 0 8 0 0 0 1 0 N NAT 2 ܘ ܘ ܤ N оооarrow_forwardA projectile is launched with a velocity of 100 m/s at an angle of 30° above the horizontal. Create a Simulink model to solve the projectile's equations of motion, where x and y are the horizontal and vertical displacements of the projectile. X=0 x(0) = 100 cos 30º x(0)=0 ÿ=-g y(0)=0 y(0)=100 sin 30º Use the model to plot the projectile's trajectory y versus x for 0≤t≤10 s.arrow_forwardSimulink Assignment- Filling a Tank In fluid mechanics, the equation that models the fluid level in a tank is: dh 1 -(min Ap - mout) dt h is the water level of the tank A is the surface area of the bottom of the tank pis the density of the fluid Mim and mout are the mass flow rates of water in and out of the tank, the flow out is a function of the water level h: 1 mout Vpgh Ris the resistance at the exit. Assume that the exit is at the bottom of the tank. g is the gravitational acceleration What to Do: 1. Build a model in Simulink to calculate the water level, h, as a function of time. Your model should stop running as soon as the tank is full. 2. Assuming the height of the tank is 2 meters, after how many seconds does the tank fill up? Use the following constants to test your model: • A: area of the bottom of the tank = 1 m? • p: the density of fluid = 1000 kg/ m? • R: the resistance at the exit = 3 (kg.m)-1/2 • ho: Initial height of the fluid in the tank = 0 m • g: the gravitational…arrow_forward
- Applying principles of dynamics, with step by step solutions pls (i give 5 stars) A usual football tryout involves a player running a 40-yard dash. If a particular player finishes the dash in 4.25 seconds while reaching his maximum speed at the first 16 yard mark with a constant acceleration and then maintains that speed for the remainder of the run, determine this person’s acceleration over the first 16 yard, his maximum speed and how long he accelerated. SET YOUR OWN VARIABLES AS YOU SEE FIT.arrow_forwardThe vertical cross section of an irrigation canal is modeled by f (x) = 5x2 / x2+ 4 where x is measured in feet and x = 0 corresponds to the center of the canal. Use the integration capabilities of a graphing utility to approximate the fluid force against a vertical gate used to stop the flow of water when the water is 3 feet deep?arrow_forward1) The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second. ANS. 11.35 drops/secarrow_forward
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