b. In order to ensure the stability of the crane, you decide to analyze the vibrations the crane would undergo in a windy environment. For a preliminary analysis, the crane is modelled as a mass-spring system comprising three springs. The following equations are derived in the first test condition: 2k, - k2 = -4 4k, + 2k2 – kz = 9 -4k2 + 2k3 = -4 where k1, kz and kz are the spring constants of the three springs in newtons per metre (N/m). i. Solve the system of equations and find the values of k1, k2 and kg using the Inverse Matrix Method. Clearly show all steps when calculating the matrix inverse, including the calculation of the determinant and the adjoint. ii. Verify your answers by solving the same set of equations using Gaussian elimination. iii. Validate your answers to a and b above using appropriate mathematical software. Provide a screenshot of your code as part of the answer.

was more interested in part b, how do I figure out the flux out of the top and bottom?

1. For the figure shown, L₁=500 mm, L₂=350 mm Diameter of the cable CD = 12 mm Diameter of the cable EF = 10 mm The link AB is rigid. There is a pin connection at point A. b=300 mm b LI L₂ D F B b. Calculate the allowable maximum value of the force P against yielding. The cables DC and EF are made of 304 stainless steel.

The velocity, in meters per second, of a particular brand of vehicle is taken at various times by a car manufacturing company to understand the behavior of the vehicle in order to make informed decision. Below is the list of observed tabular data. 4 6 8 10 16 34 60 94 t02 V 4 6 Answer questions 1a), 1b and 1c) using the preamble above. a) Develop a more generalize numerical formula that could be used by the car manufacturing company to predict the distance covered by the car at time t.