1. The differential equations for a suspension system with input displacement (1) are 2+102 + 100z 10w + 100w w + 40w = ż+ 10z + 30u (a) Assume all initial conditions are zero and convert the equations above to Laplace domain (b) Demonstrate that if you solve for W(s) in the first equation and then substitute this expression for W(s) into the 2nd equation, when you solve for Z(s) you get Z(s) = 3000+300s Ls³ +40s² +300s + 3000] 23 (c) What is the transfer function for this system? U(S)

1. For the two-bar truss shown below, find the displacements at node 2 in terms of the problem parameters H, A, E and P. Work out the solution first by hand and then check your result using the Matlab bar element code. EA \\\ (3) H E, A E,2A H H/2

HELP!!! ASAP!!! DIFERENTIAL EQUATION

Topics Discussed: Static of Rigid Bodies, Force Vector, Addition of a System of Coplanar Forces, Cartesian Vector Please re-compute and re-solve the given, This is my answer. But I also want to see your expert answer if we land in the same solutions and answers. Please show your complete solution. Thank you.

Please do not copy any answers already posted, they are incorrect.

2- Derive the rule-of-mixtures expression for the composite extensional modulus E₁ assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E¹. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf + vm + vi = 1 H |w²||wm|

Q5/ A beam with a length L is attached to the wall with a cable as shown. A load W = 400 lb. is attached to the beam. The tension force, T, k in the cable is given by: T = WL√h²+x² hx For a beam with L= 120 in. and h = 50 in. calculate T for x = 10, 30, 50, 70, 90, and 110 in. MATLAB D W

Please don't provide handwritten solution.,.

A liquid storage system is shown below. The normal oper-ating conditions are q1=10 ft3∕min,q2=5ft3∕min,h=4ft.The tank is 6 ft in diameter, and the density of each stream is 60 lb/ft3. Suppose that a pulse change in q1 occurs as shown inFig.(a)What is the transfer function relating H′ to Q′1?(b)Derive an expression for h(t) for this input change.(c)What is the new steady-state value of liquid level h?(d)Repeat (b) and (c) for a change in q1 from 10 to 20 (at t=0) to 15 ft3/min at t=12

4) Find the transfer function for the system shown below. For full credit, simplify so that the numerator and denominator do not contain fractions. G3 Y(s) R(s) (Σ) 3. G1 G2 Σ G2 H2 H1