Problem1 Use the matrix EOM at the right to answer the following questions Let z =...
Problem 3 Use the 1-DOF EOM at the right to complete this problem. The EOM describes a damped system that is being impacted by a force Fh 300N over a period of At 0.01s. Note that s(t) represents the unit impulse function and r is measured in meters. a. Verify that the system is underdamped. b. For zero initial conditions (Zo-Zo = 0), what is the total response r(t)? Plot the response in MATLAB c. For ro1 and o-0, what...
Use the 1-DOF EOM at the right to complete this problem. The EOM describes a damped system that is being impacted by a force Fh 300N over a period of Δt-0.01s. Note that δ(t) represents the unit impulse function and z is measured in meters. a. Verify that the system is underdamped. b. For zero initial conditions (ro0), what is the total response (t)? Plot the response in MATLAB. c. For zo1 m and o 0, what is the total...
show the codes Problem:3 Use the 1-DOF EOM at the right to complete this problem. The EOM describes a damped system that is being impacted by a force Fh-300N over a period of Δt-0.01s. Note that δ(t) represents the unit impulse r is measured in meters. a. Verify that the system is underdamped b. For zero initial conditions (ro-zo = 0), what is the total response z(t)? Plot the response in MATLAB c. For xo =-1 mi and ro =...
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x, y, and z as your variables, each representing the columns in turn.)1006010−40013(a) Determine whether the system has a solution.The system has one solution.The system has infinitely many solutions. The system has no solution.(b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your...
I need your help 1. Answer the following questions for the system below. (60 pts) (a) Derive the equation of motion in a matrix form: [m]{x}+[k]{x}={F(t)} (b) Write the characteristic equation. (c) Find the natural frequencies and natural modes. (d) Prove the orthogonality of the natural modes. (e) Determine the amplitude of x, at t=1 sec when it starts to vibrate from rest at t=0 sec. X2 4k 2k 4m m cos 100
nsid r the following et ār vnctors. Let 1 v2 and V3 be column vectors in and let A be the 3 × 3 matrix v 1 v2 v③ with these vectors as its columns. The vi v2 and ] are linearly dependent if and nly the hom 9ene us linear system with augmented matrix 시 has a no tr ia solution Consider the following equation. 81-3-311 Solve for ci 2, andc3. If a nontrlvial solution exists, state it or...
A guy of mass m is wakeboarding behind a boat with mass mp. The cord that is being used to tow him along has a stiffness k. See the picture at the right. Let z = [z1,T2P. 1. Draw a FBD for the system. 2. Find the EOM for the system in matrix form 3. Rewrite the EOM using modal decomposition. Define s(t) 4. Find 8(t), if x(0) [0, 0.1]T, ż(0) = [0, 0.2]T, m, = 70 kg, mp 1000...
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of the following function f(x) = -55:<2 1, 2sr35 (i) Domain (ii) Range = (b) Evaluate (1)f(-3) = (ii) f(2)= (iii) (4) = (c) Given the followig augumented matrix write a system of equations it represents. Assume the variables are r. v. Do not solve. (d) What is the solution for the system of equations equivalent to the following reduces augmented matrix? Assume the variables...
Hi Please answer the questions below. I do not need an explanation. Just the correct answer. Thank you! QUESTION 1 6 points Save Answer Consider a system Ax=b. Suppose the system has more equations than unknowns. Then it is possible for the system to have a unique solution. O O True False QUESTION 2 6 points Save Answer [-2 Given A=1 ( 9 3 1] -2 6 an 1 0 -1] , the (3,1)-entry of (A + B)' is [a]....
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [8 orë Mx + x = LO 183, 2000 -1800 x (-1800 45001 The system is initially at rest with X (0) = 0 and 2,0)=0 when input F(t) = 84 sin 15t is applied to the system. Use the modal decomposition method described in chapter 5 to find the system response. Some intermediate results (find these as part of your solution) are: The system's two...