d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt + B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 + x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100tbt + a). f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).
d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt + B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 + x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100tbt + a). f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt
B cos 100nt, where A and B are numbers to be found.
e. Using your answers from part d, express ( x1 +x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 –
4x2) in a similar forms. Convert this expression into the equivalent forms of
R sin(100nbt + a).
f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).
Transcribed Image Text:A support beam is subjected to vibrations along its length, emanating from two machines
situated at opposite ends of the beam. The displacement caused by the vibrations can be
modelled by the following equations,x1
= 3.75 sin (100nt +
mm
2n
X2 = 4.42 sin (100nt – )
mm
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