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An impulsive force is a large force that acts over a small time.

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An impulsive force is a large force and acts over a small time. The following periodic impulsive force f(t) acts on the mass of an oscillator:

see attached

Which coefficients are zero in the following Fourier representation of f(t), where w=2pi/T? Explain. No calculation are necessary, but accurate and complete statements are required.

see attached

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The solution examines impulsive force of a large force that acts over a small time.

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If you have a function f(t) as in your case in the some interval (-L, L) and determined outside of this interval by f(t+2L)=f(t). The fourier series or fourier expansion is given by your above formula.

The coefficients are give by:

and

...

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