ind the Global Stiffness Matrix for the following Spring Structure. Use your answer to set up matrix Equation F=KX

solve using Tip of tail method, parallelogram method, and Triangle method and verify using mathematical method

STATIC RIGID BODIES QUESTION! 1) What is the component of the moment? 2) Determine an equivalent force/couple system. Determine the magnitude and direction of the wrench, its point of intersection with x-y plane.

Mechanical Engineering

using MATLAB

1. A weight of 8 lbf is attached to the end of a vertical spring which stretches 4 inches before reaching equilibrium. If the weight is pulled down 6 inches below equilibrium point and given an initial upward velocity of 8 ft/sec, find the equation of motion. Note: In solving for the spring constant k, make sure it ends up as a positive number.

Use answer from first part without spring to build onto next part, thanks.

igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…

Please solve the below problem using FBD

Write the global stiffness matrix of the spring assemblage shown. Assume that all springs remain horizontal, the vertical bars at nodes 2 and 3 are rigid and allowed to slide horizontally to the left or right. Node 1 K1 = 2000 lb/in K2 = 2000 lb/in Node 2 m K3 = 1500 lb/in K4 = 1500 lb/in Node 3 F = 250 lb ma K5 = 3000 lb/in Node 4