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Unformatted text preview: ction is it heading?
(c) Find the equation of motion of the object if it is released from 6 inches above the
equilibrium position with a downward velocity of 2 feet per second. Find when the
object passes through the equilibrium position heading downwards for the third time.
8. With the help of your classmates, research the phenomena mentioned in Example 11.1.4,
namely resonance and beats.
9. With the help of your classmates, research Amplitude Modulation and Frequency Modulation.
10. What other things in the world might be roughly sinusoidal? Look to see what models you
can ﬁnd for them and share your results with your class. 20 See this website: http://www.usno.navy.mil/USNO/astronomical-applications/data-services/frac-moon-ill.
You may want to plot the data before you ﬁnd the phase shift.
The listed fraction is 0.62.
21 11.1 Applications of Sinusoids 11.1.3 759 Answers 1. S (t) = sin (880πt)
2. V (t) = 220 2 sin (120πt) 3. h(t) = 67.5 sin π
15 t − π
2 + 67.5 4. x(t) = 67.5 cos π
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