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yuradex [85]
3 years ago
9

Alright, who’s dirty minded cause i am :)

Engineering
2 answers:
densk [106]3 years ago
8 0

Answer:

me;)

Explanation:

wel3 years ago
5 0

Answer:

I am lol

Explanation:

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g Calculate a better value for the convection coefficient using resources from heat transfer. Assume forced convection of the ai
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Explanation:

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State three means of operating a power tool
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When charging an R-410A system that uses a water-cooled condenser, you must first charge with vapor to a pressure of at least __
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Explain Laser Doppler Vibrometer in details.
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Show that y = '(t - s)f(s)ds is a solution to my" + ky = f(t). Use g' (0) = 1/m and mg" + kg = 0. 6.1) Derive y' 6.2) Using g(0)
Gre4nikov [31]

Answer:

Explanation:

Given that:

y = \int^t_og'(t-s) f(s) ds \  \text{is  solution to } \ my"ky= f(t)

where;

g'(0) = \dfrac{1}{m}     and mg"+kg = 0

\text{Using Leibniz Formula to prove the above equation:}

\dfrac{d}{dt} \int ^{b(t)}_{a(t)} \ f (t,s) \ ds = f(t,b(t) ) * \dfrac{d}{dt}b(t) - f(t,a(t)) *\dfrac{d}{dt}a(t) + \int ^{b(t)}_{a(t)}\dfrac{\partial}{\partial t} f(t,s) \ dt

So, y = \int ^t_0  g' (t-s) f(s) \ ds

\text{By differentiation with respect to t;}

y' = g'(o) f(t) \dfrac{d}{dt}t- 0 + \int^{t}_{0}g'' (t-s) f(s) ds \\ \\  y' = \dfrac{1}{m}f(t) + \int ^t_0 g'' (ts) f(s) \ ds

y'' = \dfrac{1}{m} f'(t) + g"(0) f(t) + \int^t_o g"'(t-s) f(s)ds --- (1)

Since \ \ mg" (t) +kg (t) = 0  \\ \\  \implies g" (t) = -\dfrac{k}{m} g(t) --- (111) \\ \\  put \  t \  =0 \  we  \ get;\\g" (0) = - \dfrac{k}{m } g(0)  \\ \\  g"(0) = 0 \ \ \ \   ( because \  g(0) =0) \\ \\

Now \ differentiating \ equation (111) \ with \ respect \ to \ t  \\ \\  g"'(t) = -\dfrac{k}{m}g(t)  \\ \\  replacing  \ it \ into  \ equation \ (1) \\ \\ y" = \dfrac{1}{m}f' (t) + 0 + \int ^t_o  \dfrac{-k}{m}g' (t-s) f(s) \ ds \\ \\ y" = \dfrac{1}{m}f' (t) - \dfrac{k}{m} \int ^t_o g' (t-s) \ f(s) \ ds \\ \\  y" = \dfrac{1}{m}f'(t) - \dfrac{k}{m}y \\ \\  my" = f'(t)-ky \\ \\ \implies \mathbf{ my" +ky = f'(t)}

7 0
3 years ago
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