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The amplitude, period, frequency and angular frequency of y=6sin(3t) is 1. 2. 3. 4. None of these 5. Don’t know 6.

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The amplitude, period, frequency and angular frequency of is 1. 2. 3. None of these 4. Don’t know 5.

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Find the period of. 1.0.5 2.2 3.π 4.4 π

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What is meant by the amplitude of a function? 1.Maximum displacement from x=0 2.Maximum displacement from y=0 3.Interval at which the function is repeated 4.None of these

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Find, where n is an integer. 1.0, n≠0 and 0, n=0. 2.1, n≠0 and 0, n=0. 3.0, n≠0 and 1, n=0. 4.1, n≠0 and 1, n=0.

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For any integers m, n,. 1.True 2.False 3.Don’t know

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For any integers m, n, 1.True 2.False 3.Don’t know

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Is the function 1.Even 2.Odd 3.Neither 4.Don’t know

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Is the function 1.Even 2.Odd 3.Neither 4.Don’t know

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Is the function 1.Even 2.Odd 3.Neither 4.Don’t know

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Is the function 1.Even 2.Odd 3.Neither 4.Don’t know

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Is the function 1.Even 2.Odd 3.Neither 4.Don’t know

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Is the function 1.Even 2.Odd 3.Neither 4.Don’t know

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Which of the following is true for odd functions? 1. 2. 3. None of the above 4. Don’t know 5.

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If f(t) is an even function, which of the following are true? 1.f(t)sinnt=odd 2.b n =0 3.f(t)cosnt=even 4.None of these are true

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is known as the: 1.First harmonic 2.Second harmonic 3.Third harmonic 4.Don’t know

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For the function, the Fourier series would contain a constant term. 1.True 2.False 3.Don’t know

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For the square wave function, the Fourier series would contain a constant term. 1.True 2.False 3.Don’t know

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Find the Fourier series for |t| on (-π,π). 1. 2. 3. 4. Don’t know 5.

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Obtain the Fourier series for this function. 1. 2. 3. None of the above 4. Don’t know 5.

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Obtain the Fourier series of the 2π periodic function f(t)=t 2, - π

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The value represents 1.The average value of f(t) over one period 2.Half the average value of f(t) over one period 3.Neither of these 4.Don’t know

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For the given function, find the value of a n. 1. 2. 3. Don’t know 4.

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For the given function, find the value of 1. 2. 3. 4. 5. Don’t know 6.

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For the given function, find the value of b n. 1. 2. 3. None of these 4.

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For the function, find the value of b n. 1. 2. 3. 4. 5. Don’t know 6.

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Find the value of b n for this function. 1.-1 2.0 3.1/ n 4.½ 5.Don’t know

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When, the Fourier coefficient a 3 is equal to 1. 2. 3. 4. Don’t know 5.

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When, the Fourier coefficient a 2 is equal to 1. 2. 3. 4. Don’t know 5.

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When, find the value of b 3. 1. 2. 3. 4. Don’t know 5.

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Extend the function f(t)=t, 0≤t ≤1 as a periodic odd function and calculate its Fourier sine series. 1. 2. 3. 4. Don’t Know 5.

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ME 440 Intermediate Vibrations Tu, January 27, 2009 Sections 1.10 & 1.11 © Dan Negrut, 2009 ME440, UW-Madison.

ME 440 Intermediate Vibrations Tu, January 27, 2009 Sections 1.10 & 1.11 © Dan Negrut, 2009 ME440, UW-Madison.

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