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Need the following question answered, the subject is Mathematical Methods 2 (Mechanical Engineering). This is a University style question/practice paper with sections and I want the solutions to it, this comes with a formula sheet and if possible, use the formula sheet to answer the question. Need Calculations shown to each part of the question, My Teacher hasn't got back to me regarding the solutions so here I am, Thank you. Note: Please answer the question in UK style format as I don't think I'm allowed to go about the question in an American style. Thank you.

2. A mass spring damper system can be modelled by the following equation: d2x dx m dt2 ++ kx = 0 dt Equation (2.1) Where m is

1. Probability Distributions N! Binomial: P(n,N) = pqN-n mean= Np variance=Npq (N-n)!n! Poisson: Pr = e mean= «n> variance= <

2. Second Order ODE + b dy + cy = f(x) dx Form of ODE a + b dy y = yn + Yp is the solution of ODE, day Where, yn is the solut

Table of Laplace Transform Properties Linearity L{a f(t) + b g(t)} = a F(s) + b F(s) Shifting in s domain L{eat f(t)} = F(s -

engineering   Mechanical-Engineering   
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Answer #1

52 2 2 co m= 1 Rg; C = 6 Rgs fx= grg D + 6 D + 9) X(t) = Auselleary equr is, f (m) 1m2 + 6m +9 = 0 fore real and equel boots

sint Rp. I 2 6D 78 dlp. I sint -(02+6) +9 (1-4/2) sint 6 B + HA (D-4/3) L (D-4/3) 62-63)) elp. I = 1 sint dlp. I = Ś (D-4/3)

2[+) = (3+7+) 24+ sint 3 cost 50 25 50 CS Scanned with CamScanner

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