An object of mass m falls from rest and its velocity v given by dv m+kv =S. dt Use the Integrating Factor method to Use the Integrating Factor method to solve for dv m +kv =S dt di L+Ri=V dt solve for where current, i, if wh v(0) = 0, m=1, k =a, and i(0)=0, L=1 Henry, R=a2 and a) V, =b a) S, =b 0) S, = te 2at b) V, = te 2at

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Chapter5: Relativity
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Problem 36P: Describe the following physical occurrences as events, that is, in the form (x, y, z, t): (a) A...
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An object of mass m falls from rest and GIVen the RL circui below.
its velocity v given by
dv
m+kv = S.
dt
www
Use the Integrating Factor method to Use the Integrating Factor method to solve for
dv
m +kv =S
dt
di
L+Ri=V
dt
solve
for
where current,
i, if
whe
v(0) = 0, m=1, k =a, and
a) S, =b
i(0)=0, L=1 Henry, R=a2 and
a) V =b
b) S, = te 2at
%3D
b) V = te 2at
021 Pag
27.
For part a) with S, =V, =b, the general solution (i.e. before substituting initial
conditions) is
-Zat, the choice of I in the D-I method calculation is
For part b) with S, =V; =te™
For part b) with S, =V, = te2at, IF.Q dt integrated to an expression with
28.
29.
term(s)
i) -te at
ii)
Transcribed Image Text:An object of mass m falls from rest and GIVen the RL circui below. its velocity v given by dv m+kv = S. dt www Use the Integrating Factor method to Use the Integrating Factor method to solve for dv m +kv =S dt di L+Ri=V dt solve for where current, i, if whe v(0) = 0, m=1, k =a, and a) S, =b i(0)=0, L=1 Henry, R=a2 and a) V =b b) S, = te 2at %3D b) V = te 2at 021 Pag 27. For part a) with S, =V, =b, the general solution (i.e. before substituting initial conditions) is -Zat, the choice of I in the D-I method calculation is For part b) with S, =V; =te™ For part b) with S, =V, = te2at, IF.Q dt integrated to an expression with 28. 29. term(s) i) -te at ii)
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