Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12 seconds has elapsed) afce a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from the wall, as a function of the time (t, in seconds) since it was furthest from the wall. b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the wall. c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint: write an equation, AND solve it algebraically.)
Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12 seconds has elapsed) afce a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from the wall, as a function of the time (t, in seconds) since it was furthest from the wall. b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the wall. c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint: write an equation, AND solve it algebraically.)
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:Question 5
Once in motion, a pendulum's distance varies sinusoidally from 12 cm to 2 cm away
from a wall every 12 seconds (i.e., from 12 cm away from the wall, to 2 cm away, 12
seconds has elapsed)
a) Write a sinusoidal function for D (either sin or cosine), the pendulum's distance from
the wall, as a function of the time (t, in seconds) since it was furthest from the wall.
b) Sketch the pendulum's distance D from the wall over a 1 minute interval as a function
of time t. Assume t=0 corresponds to a time when the pendulum was furthest from the
wall.
c) Find the first three times when the pendulum was 10 cm away from the wall. (Hint:
write an equation, AND solve it algebraically.)
P
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