This behaviour can be reduced to an expression for the displacement as a function of time: 2(t) = e-kt cos(2nft), where k = 0.5 s-1 and f = 2 Hz. Calculate the values of t in the interval t = 0 to t = 1 for which the amplitude of z(t) is zero. Hint consider values at which a cosine function is zero and also consider whether the exponential function can be zero. (6 marks) b. Differentiate f(t) = e-kt and g(t) cos(2nft) with respect to t (4 marks) c. Differentiate the function z(t) to show that the expression for the velocity of the tip of the beam as a function of time can be written as u(t) =-e-kt (k cos(2nft) + 2r/ sin(2rft)) . (4 marks) d. Calculate the value of t after the start at which the velocity of the tip first becomes zero. Hint: the expression for velocity is given in question (c) and remember to consider again if the exponential function can be zero.) (4 marks) e. Calculate the value of t when f(t) = e-kt falls to 10% of its maximum value. (Hint: the maximum of f (t) is at t 0 and it is 1.) (2 marks)
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The output from a model for the vibration of the tip of a beam is shown in the following figure. ...
a) Use MATLAB to find the Fourier Transform F(w) of the following function f(t). b) Plot...
a) Use MATLAB to find the Fourier Transform F(w) of the following function f(t). b) Plot F(w). Express the x-axis in [Hz]. Plot for f = -8Hz to 8Hz. f(t) = cos(27 (34))e-**" 0.8 0.6 0.4 0.2 f(t) appears to oscillate at 3 cycles/sec 0 -0.2 -0.4 -0.6 0.8 -1 2 -1.5 -0.5 0 0.5 1 1.5 2
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure...
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure 3.2(a). This system's response to an input of x(t) 1) would be y(t) h(r ult 1). as shown in Figure 3.2(b). If the input signal is a sum of weighted, time-shifted impulses as described by (3.10), separated in time by Δ = 0.1 (s) so that xt)01-0.1k), as shown in Figure 3.2(c), then, according to (3.11), the output is This output signal is...
Q3. There exists a signal f(t) whose Laplace Transform has the following poles Pole-Zero Map 093 087 0.78 064 0.8 0 97 0.6 0.40 99a 0.2 25 1.5 05 20.2 0.4 0.92 0.6 097 0.8 093 087 078 064 2.5 1.5...
Q3. There exists a signal f(t) whose Laplace Transform has the following poles Pole-Zero Map 093 087 0.78 064 0.8 0 97 0.6 0.40 99a 0.2 25 1.5 05 20.2 0.4 0.92 0.6 097 0.8 093 087 078 064 2.5 1.5 0.5 Real Axis (seconds) e2tf(t) and P(jo) converges. Decide whether f(t) is right sided/left Another function p(t) sided/ 2 sided. Justify your answer clearly. Hint: P(ja) refers to Fourier Transform of p(t)
Q3. There exists a signal f(t) whose...
I'm trying to solve this differential equations by using matlab and I've got a plot from the code attached. But...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
I'm trying to solve this differential equations by using matlab and I've got a plot from the code attached. But...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02 Tid E, n, cose, - n, cos E n cos & + n, cose E, 712 n, cose, - n, cose, E n, cose, + n cose, 0 = sin(ng/n) 2,27 77 TWO E=Pt E=MCAT m=pV=PAL E= PALGAT E = mcAT+MH = PALCCAT+H). p=1g/cm (for water) P'=P/CSA OD = -Log(1/1) ty= 1/(4K) T(5,1)=T,+(T.-T, Werfel – 2/KT c = lcal/gH = 540 calg 13 Time...
please ignore the first photo and only answer #86 and #66 Calculate the integrals in Problems...
please ignore the first photo and only answer #86 and #66
Calculate the integrals in Problems 72-74 by partial fractions and then by using the indicated substitution. Show that the results you get are the same. da: 72. :s ; substitution x = sin 0. In Problems 86-87, decide whether the statements are true or false. Give an explanation for your answer. dt can be made easier to evaluate by using the substitution t = 3 tan . 86. The...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02 Tid E, n, cose, - n, cos E n cos & + n, cose E, 712 n, cose, - n, cose, E n, cose, + n cose, 0 = sin(ng/n) 2,27 77 TWO E=Pt E=MCAT m=pV=PAL E= PALGAT E = mcAT+MH = PALCCAT+H). p=1g/cm (for water) P'=P/CSA OD = -Log(1/1) ty= 1/(4K) T(5,1)=T,+(T.-T, Werfel – 2/KT c = lcal/gH = 540 calg 13 Time...
all parts -2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2...
all parts
-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
Consider the Solow growth model. Output at time t is given by the production function Yt...
Consider the Solow growth model. Output at time t is given by the production function Yt = AK 1 3 t L 2 3 where Kt is total capital at time t, L is the labour force and A is total factor productivity. The labour force and total factor productivity are constant over time and capital evolves according the transition equation Kt+1 = (1 − d) ∗ Kt + It , where d is the depreciation rate. Every person saves...
a) Use MATLAB to find the Fourier Transform F(w) of the following function f(t). b) Plot F(w). Express the x-axis in [Hz]. Plot for f = -8Hz to 8Hz. f(t) = cos(27 (34))e-**" 0.8 0.6 0.4 0.2 f(t) appears to oscillate at 3 cycles/sec 0 -0.2 -0.4 -0.6 0.8 -1 2 -1.5 -0.5 0 0.5 1 1.5 2
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure 3.2(a). This system's response to an input of x(t) 1) would be y(t) h(r ult 1). as shown in Figure 3.2(b). If the input signal is a sum of weighted, time-shifted impulses as described by (3.10), separated in time by Δ = 0.1 (s) so that xt)01-0.1k), as shown in Figure 3.2(c), then, according to (3.11), the output is This output signal is...
Q3. There exists a signal f(t) whose Laplace Transform has the following poles Pole-Zero Map 093 087 0.78 064 0.8 0 97 0.6 0.40 99a 0.2 25 1.5 05 20.2 0.4 0.92 0.6 097 0.8 093 087 078 064 2.5 1.5 0.5 Real Axis (seconds) e2tf(t) and P(jo) converges. Decide whether f(t) is right sided/left Another function p(t) sided/ 2 sided. Justify your answer clearly. Hint: P(ja) refers to Fourier Transform of p(t)
Q3. There exists a signal f(t) whose...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
I'm
trying to solve this differential equations by using matlab and
I've got a plot from the code attached. But I wanna get a plot of
completely sinusoidal form. If I can magnify the plot and expand
x-axis, maybe we can get the sinusoidal form. So help me with this
problem by using matlab. Example is attached in below. One is the
plot from this code and another is example.
function second_order_ode2
t=[0:0.001:1];
initial_x=0;
initial_dxdt=0;
[t,x]=ode45(@rhs,t,[initial_x initial_dxdt]);
plot(t,x(:,1))
xlabel('t')
ylabel('x')...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02 Tid E, n, cose, - n, cos E n cos & + n, cose E, 712 n, cose, - n, cose, E n, cose, + n cose, 0 = sin(ng/n) 2,27 77 TWO E=Pt E=MCAT m=pV=PAL E= PALGAT E = mcAT+MH = PALCCAT+H). p=1g/cm (for water) P'=P/CSA OD = -Log(1/1) ty= 1/(4K) T(5,1)=T,+(T.-T, Werfel – 2/KT c = lcal/gH = 540 calg 13 Time...
please ignore the first photo and only answer #86 and #66
Calculate the integrals in Problems 72-74 by partial fractions and then by using the indicated substitution. Show that the results you get are the same. da: 72. :s ; substitution x = sin 0. In Problems 86-87, decide whether the statements are true or false. Give an explanation for your answer. dt can be made easier to evaluate by using the substitution t = 3 tan . 86. The...
List of equations: 3 8 ws - of W Erhv n sin = n, sin 02 Tid E, n, cose, - n, cos E n cos & + n, cose E, 712 n, cose, - n, cose, E n, cose, + n cose, 0 = sin(ng/n) 2,27 77 TWO E=Pt E=MCAT m=pV=PAL E= PALGAT E = mcAT+MH = PALCCAT+H). p=1g/cm (for water) P'=P/CSA OD = -Log(1/1) ty= 1/(4K) T(5,1)=T,+(T.-T, Werfel – 2/KT c = lcal/gH = 540 calg 13 Time...
all parts
-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
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