Homework Answers
period of sin (at)=2pi/a
period of cos (at)=2pi/a
(a) yes ,it is periodic
period=2pi/3
(b) period of sin (5t)=2pi/5=22pi/55
period of cos (5.5t)=2pi/5.5=4pi/55
period of total=44pi/55
(c)it is non periodic as commom lcm is not possible for 2pi/3 and 2
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There are 3 combined motions as listed below. (1) Please answer whether these combined motions are...
NOTE: PLEASE DO Q.3 Part d and e Answers are given below: Question 3 (16 marks)...
NOTE: PLEASE DO Q.3 Part d and e
Answers are given below:
Question 3 (16 marks) Consider the periodic signal T v(t)24 cos(2t ) - 4 sin(5t - 2 The signal v is given as an input to a linear time-invariant continuous-time system with fre- quency response 4 0 lwl 2 2 jw H(w) lwlT 2, 1 2 jw (a) 3 marks] Find the fundamental period To and frequency wo of v (b) [3 marks] Express v in cosine sine...
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat...
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate the time intervals between the samples.
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate...
Can someone please explain why they only considered 0,2 and 5 as their frequencies and didn't inc...
can someone please explain why they only considered 0,2 and 5 as
their frequencies and didn't include -2 and -5? Also, how did they
get the angles for the changes column? please explain with steps.
thank you
1. (i) (8 pts) The input signal z(t) to a continuous time (CT) linear time-invariant (LTI) system is given by x(t) 12 cos 2t +sin 5t The output y(t) is found to be given by y(t) 3-4 sin 2t 0.5 sin 5t At...
Will Upvote Correct Answers Exercise 1 Determine the amplitude, the frequency, the phase shift and the...
Will Upvote Correct Answers
Exercise 1 Determine the amplitude, the frequency, the phase shift and the period of the motion given by u(t)3 cos(2)3 sin(2t) Hint: rewrite u into the form u(t) = Rcos(wt - 6) Exercise 2 A mass of 0.5 kg stretches a spring 49 cm. Suppose that the mass is also attached to a viscous damper with a damping constant 0.5 N -s/cm. If the mass is pulled down 5 cm below its equilibrium and then released,...
1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is a...
Differntial Equations Forced Spring Motion
1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is attached to a machine that supplies an external driving force of f(t) = 4 cos(wt). The systern is started from equilibrium i.e. 2(0) = 0 and z'(0) = 0. There is no damping. (a) Find the position x(t) of the mass as a function of time (b) write your answer in the form r(t)-1 sin(6t)...
GRAPH EACH TRIG FUNCTION OVER ONE PERIOD. show work please! 3. f(t)= 1+3 sin (3t-172) 4....
GRAPH EACH TRIG FUNCTION OVER ONE PERIOD.
show work please!
3. f(t)= 1+3 sin (3t-172) 4. f(t) = 4 cos (t+17)-2
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y"...
Please show solutions.
Answer:
1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ-...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
solve all questions simply by using matlab. write all step here please 1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for...
solve all questions simply by using matlab.
write all step here please
1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
NOTE: PLEASE DO Q.3 Part d and e
Answers are given below:
Question 3 (16 marks) Consider the periodic signal T v(t)24 cos(2t ) - 4 sin(5t - 2 The signal v is given as an input to a linear time-invariant continuous-time system with fre- quency response 4 0 lwl 2 2 jw H(w) lwlT 2, 1 2 jw (a) 3 marks] Find the fundamental period To and frequency wo of v (b) [3 marks] Express v in cosine sine...
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate the time intervals between the samples.
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate...
can someone please explain why they only considered 0,2 and 5 as
their frequencies and didn't include -2 and -5? Also, how did they
get the angles for the changes column? please explain with steps.
thank you
1. (i) (8 pts) The input signal z(t) to a continuous time (CT) linear time-invariant (LTI) system is given by x(t) 12 cos 2t +sin 5t The output y(t) is found to be given by y(t) 3-4 sin 2t 0.5 sin 5t At...
Will Upvote Correct Answers
Exercise 1 Determine the amplitude, the frequency, the phase shift and the period of the motion given by u(t)3 cos(2)3 sin(2t) Hint: rewrite u into the form u(t) = Rcos(wt - 6) Exercise 2 A mass of 0.5 kg stretches a spring 49 cm. Suppose that the mass is also attached to a viscous damper with a damping constant 0.5 N -s/cm. If the mass is pulled down 5 cm below its equilibrium and then released,...
Differntial Equations Forced Spring Motion
1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is attached to a machine that supplies an external driving force of f(t) = 4 cos(wt). The systern is started from equilibrium i.e. 2(0) = 0 and z'(0) = 0. There is no damping. (a) Find the position x(t) of the mass as a function of time (b) write your answer in the form r(t)-1 sin(6t)...
GRAPH EACH TRIG FUNCTION OVER ONE PERIOD.
show work please!
3. f(t)= 1+3 sin (3t-172) 4. f(t) = 4 cos (t+17)-2
Please show solutions.
Answer:
1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
solve all questions simply by using matlab.
write all step here please
1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
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