a) Two instantaneous sources, each of strength M are
symmetrically placed about the origin (x=0) at locations
respectively and
released at time t=0. Obtain the solution to the 1d diffusion
equation describing the concentration c(x,t) at a time > 0 for
. Plot the
concentration field, c(x,t)/M, as a function of x for -4 What does
the plot looks like for Dt > 5. b) Find the peak concentration
at x=0 and the time to at which it develops. Plot c(0,t) vs t for D
= 10(-11)cm2/s ;M = 25 
g/cm2 and 
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a) Two instantaneous sources, each of strength M are
symmetrically placed about the origin (x=0) at...
1) A particle with mass m moves under the influence of a potential field . The...
1) A particle with mass m moves under the influence of a
potential field . The
particle wave function is stated by:
for
where and
are
constants.
(a) Show that is not time
dependent.
(b) Determine as the
normalization constant.
(c) Calculate the energy and momentum of the particle.
(d) Show that
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Create a Matlab code to solve the two following equations for a pendulum: F = 10 m = 1 ks = 1 (m+M)x'' - ml'' cos + ml'' sin = F -x'' cos + l'' - g sin = 0 We w...
Create a Matlab code to solve the two following equations for a pendulum: F = 10 m = 1 ks = 1 (m+M)x'' - ml'' cos + ml'' sin = F -x'' cos + l'' - g sin = 0 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
Create a Matlab code using ode45 function to solve the following two equations of a pendulum: m+M)x'' - ml'' cos + ml'' sin = F -x'' cos + l'' - g sin = 0 Force...
Create a Matlab code using ode45 function to solve the following two equations of a pendulum: m+M)x'' - ml'' cos + ml'' sin = F -x'' cos + l'' - g sin = 0 Force = 10N 5kg pendulum initial angle = 30 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe...
Givens F (N) m(k)Vx (m/s) x(m) 36 12 0. Scenario1 Scenario 2 A. What is a,?...
Givens F (N) m(k)Vx (m/s) x(m) 36 12 0. Scenario1 Scenario 2 A. What is a,? S1 S2. What is r,, when t-3 s? S1. S2. B. C. What is v whent 3s? S1 S2. D. What ist when r 6 m? S1. S2. Givens T (N) m (kg)Viy (m/s) y(m) 78 20 Scenario 1 Scenario2 A. What is the weight of the object? S1. S2. What is ay? S1 S2. B. C. What is ri, when t-1 s? SI...
DIFFERENTIAL EQUATION PROBLEM An object with a mass of 2 kg moves along the x-axis and...
DIFFERENTIAL EQUATION PROBLEM
An object with a mass of 2 kg moves along the x-axis and we will
assume that the positive direction of movement is to the right.
Only one force (in N) is present and opposes the movement. Let
be the speed of the object (in m / s) at time t. The object starts
from the origin (x = 0) with an initial speed of 75 m / s. Suppose
that the resistance force has a magnitude...
Find the value of x(t) at a given value of t, with initial conditions of x(0) and (0), using Euler Method. Consider the...
Find the value of x(t) at a given value of t, with initial
conditions of x(0) and (0),
using Euler Method.
Consider the following dynamic system 1 (0 (t) wheere 0.5, xt20 に 4, and m 4 k- We were unable to transcribe this image
Consider the following dynamic system 1 (0 (t) wheere 0.5, xt20 に 4, and m 4 k-
Suppose X is a positive random variable with density for x > 0 and with moment...
Suppose X is a positive random variable with density for x > 0 and with moment generating function (a) Use the fact that for x > 0 to prove that (b) Use the result in (a) to find ExpectedValue(x-1) if X ~ Gamma(alpha, beta) where the ExpectedValue(X) = alpha(beta) fr) M, (t) We were unable to transcribe this imageExpectedValue(z-1)= 1 M1(-t)dt
The graphs x (t) below represent the motion of two ladybugs, Kyle (K) (solid graph) and...
The graphs x (t) below represent the motion of two ladybugs, Kyle (K) (solid graph) and Lea (L) (dotted graph), moving along the same straight line x (m) 5K 2 46 8i 10 t(s) 3 L Part 1. The initial distance between K and L is 4mO5m 9 m Submit Answer Tries 0/99 Part 2. At t 3 s, the distance between K and L is Submit Answer Tries 0/99 Part 3. What is the instantaneous velocity of K at...
If you have the following National Income model, y = C + I + G + (X - M) C = 7.4 + 0.25 (Y - T) T = 1.6 + 0.02Y Where I = 1.9 trillion dollars, G = 3 trillion dollars, X = 2.1 trillion dollars, M = 2....
If you have the following National Income model, y = C + I + G + (X - M) C = 7.4 + 0.25 (Y - T) T = 1.6 + 0.02Y Where I = 1.9 trillion dollars, G = 3 trillion dollars, X = 2.1 trillion dollars, M = 2.6 trillion dollars. [1 0 0.33] [Y] [15.73] 0.25 -1 -0.25 . C = -7.4 0.02 0 -1 T -1.6 1. What is the determinant of A?...
For k = 2 N/m, m = 20 g, and c = 0.03 N-s/m, calculate and...
For k = 2 N/m, m = 20 g, and c = 0.03 N-s/m, calculate and plot
the magnitude (in m/N) and phase (in degrees) of the frequency
response function from the excitation f(t) to the response x(t).
Show your plots over a frequency range of 0 Hz to 3 Hz, which
should include the resonance peak (be sure to check units).
We were unable to transcribe this imageFigure B Figure A 1.25 xdt) 0.8 0.6 0.4 0.75 0.25 8...
1) A particle with mass m moves under the influence of a
potential field . The
particle wave function is stated by:
for
where and
are
constants.
(a) Show that is not time
dependent.
(b) Determine as the
normalization constant.
(c) Calculate the energy and momentum of the particle.
(d) Show that
V (x /km/2h+it/k/m Aar exp (ar, t) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable...
Givens F (N) m(k)Vx (m/s) x(m) 36 12 0. Scenario1 Scenario 2 A. What is a,? S1 S2. What is r,, when t-3 s? S1. S2. B. C. What is v whent 3s? S1 S2. D. What ist when r 6 m? S1. S2. Givens T (N) m (kg)Viy (m/s) y(m) 78 20 Scenario 1 Scenario2 A. What is the weight of the object? S1. S2. What is ay? S1 S2. B. C. What is ri, when t-1 s? SI...
DIFFERENTIAL EQUATION PROBLEM
An object with a mass of 2 kg moves along the x-axis and we will
assume that the positive direction of movement is to the right.
Only one force (in N) is present and opposes the movement. Let
be the speed of the object (in m / s) at time t. The object starts
from the origin (x = 0) with an initial speed of 75 m / s. Suppose
that the resistance force has a magnitude...
Find the value of x(t) at a given value of t, with initial
conditions of x(0) and (0),
using Euler Method.
Consider the following dynamic system 1 (0 (t) wheere 0.5, xt20 に 4, and m 4 k- We were unable to transcribe this image
Consider the following dynamic system 1 (0 (t) wheere 0.5, xt20 に 4, and m 4 k-
The graphs x (t) below represent the motion of two ladybugs, Kyle (K) (solid graph) and Lea (L) (dotted graph), moving along the same straight line x (m) 5K 2 46 8i 10 t(s) 3 L Part 1. The initial distance between K and L is 4mO5m 9 m Submit Answer Tries 0/99 Part 2. At t 3 s, the distance between K and L is Submit Answer Tries 0/99 Part 3. What is the instantaneous velocity of K at...
For k = 2 N/m, m = 20 g, and c = 0.03 N-s/m, calculate and plot
the magnitude (in m/N) and phase (in degrees) of the frequency
response function from the excitation f(t) to the response x(t).
Show your plots over a frequency range of 0 Hz to 3 Hz, which
should include the resonance peak (be sure to check units).
We were unable to transcribe this imageFigure B Figure A 1.25 xdt) 0.8 0.6 0.4 0.75 0.25 8...
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