(a) Spring is an element, which stores potential energy. By using a diagram and appropriate equations, show how spring i

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A Spring Is An Element Which Stores Potential Energy By Using A Diagram And Appropriate Equations Show How Spring I 1 (94.93 KiB) Viewed 32 times

(a) Spring is an element, which stores potential energy. By using a diagram and appropriate equations, show how spring is used in a translational mechanical system. (3 marks) (b) Figure Q2 (b) shows the translational mechanical system Force, f(t) is an input; x1​(t) and x2​(t) are the output displacements. (i) Draw the free-body diagram of the system (6 marks) (ii) Derive the equation of motion using Newton's Law of Motion and interpret the equation into the s-domain using the Laplace transform (4 marks) (iii) Deternine the transfer function moslel, X(s)/F(s) of the system. (6 marks) c) Given the following differential equation, solve for y(t) if initial condition for y(0)=10. Use the Laplace transform. dtdy​+2y=12 where y(0)=10
Iigure (Q2 (b)