Help asap!! #22 only ! 20. Consider the equation+dt² mfor the motion of a simple harmonic oscillator.0(a) Consider the function y(t) = cos ßt. Under what conditions on ß is y(t) asolution?(b) What initial condition (t = 0) in the yv-plane corresponds to this solution?(c) In terms of k and m, what is the period of this solution?(d) Sketch the solution curve (in the yv-plane) associated to this solution. [Hint:Consider the quantity y² + (v/B)².] 2.1 Modeling via Systems 16521. A mass weighing 12 pounds stretches a spring 3 inches. What is the spring constantfor this spring?22. A mass weighing 4 pounds stretches a spring 4 inches.(a) Formulate an initial-value problem that corresponds to the motion of this un-damped mass-spring system if the mass is extended 1 foot from its rest positionand released (with no initial velocity).(b) Using the result of Exercise 20, find the solution of this initial-value problem.

Answered: Image /qna-images/answer/bdb2e5cf-a9b0-470a-95c1-3ea24c49ea47.jpg

22. A mass weighing 4 pounds stretches a spring 4 inches. (a) Formulate an initial-value problem that corresponds to the motion of this un- damped mass-spring system if the mass is extended 1 foot from its rest position and released (with no initial velocity). (b) Using the result of Exercise 20, find the solution of this initial-value problem.

22. A mass weighing 4 pounds stretches a spring 4 inches. (a) Formulate an initial-value problem that corresponds to the motion of this un- damped mass-spring system if the mass is extended 1 foot from its rest position and released (with no initial velocity). (b) Using the result of Exercise 20, find the solution of this initial-value problem.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A uniform beam of length L carries a concentrated load wo at x = -24. The beam is embedded at both ends as shown in the figure below. Use the Laplace transform to solve the differential equation. Erdy - wos(x-4), Ay dx4 subject to the given boundary conditions y(0) = 0, y'(0) = 0, y(L) = 0, y'(L) - 0. ])+( ]]).(x-[ y(x) = (C Wo
24 obtain a numerical solution of the In the differential equation dy =3- dx ✗ X rang 1.0(0.1)1.2. using the Euler-Cauchy method. given the initial Condition that X=1 when Y=2?
Given z=Vi+xy and (x,y) changes from (2, 1) to (1.97, 1.04). (a) Use total differential to find the approximation to Az. (b) Calculate the exact change in z. (c) Find the approximation for z. (d) Calculate the exact value for z.
Solve for the value of C.
7. Use the Laplace transform and its inverse to solve the following initial-value problems: a) y = 2e*; y(0) =– 1 b) y + y = e2t; y(0) =0 Ans. a) y = 2e* – 3, b) y = (e2t – e-t)
By integrating the differential equations of equilibrium, calculate V, and M, for 0 < x < L. Clearly state the boundary conditions. Verify the solution by using the free body diagram method. Plot V, and M, vs L < 1. for 0 < L Vy Vy(z) Vy(0) V,(0) is V,(x) at 1 = 0 M, = M-(2) Po TTX' Py = Po sin () EI, L
PROBLEM3: For the system shown in Figure 1, x and y denote, respectively, the absolute displacements of the mass m and the end Q of the dashpot C₁. (a) Derive the equation of motion of the mass m (b) find the steady-state displacement of the mass m (c) find the force transmitted to the support at P,when the end Q is subjected to the harmonic motion y(t)= = Y cos wt. C₂ 00000 m -x(1) C₁ HE Figure 1- SDOF system y(t) = Y cos wt Q
Using the Second Order Runge-Kutta method (modified Euler's version) to solve the ODE dy/dx = 3x + 4y with the initial condition y = 2 and x = 0 using a stepsize of h = 0.2 solve y' (0.6)? Kindly answer it fast. Thank you
From the figure below, determine reaction Av. Use absolute value. (No need to include sign since absolute values are always positive). *
Solve please quik
It is desired to replace 560 N force R acting on particle A with two forces P and Q which will produce the same external effect on A. The magnitude and direction of the component P are as shown. Determine the other component Q.
Determine relation at A and B of the following figure