Example 10.23. The displacement y of a part of a mechanism is tabulated with corresponding angular movement x of the crank. Express y as a Fourier series neglecting the harmonic above the third.
30 60 90 120 150 180 210 240 270 300 330
y 1.80 1.10 0.30 0.16 1.50 1.30 2.16 1.25 1.30 1.52 1.76 2.00
Example 10.24. The following table gives the variations of periodic current over a period.
t sec 0 T/6 T/3 T/2 2T/3 5T/6 T
A amp. 1.98 1.30 1.05 1.30 -0.88 -0.25 1.98
Show that there is a direct current part of 0.75 amp in the variable current and obtain the amplitude of the first harmonic.
V.T.U. 2010: S.V.T.U. 2009