Angle to a particle (part 1) A particle travels clockwise on a circular path of diameter D, monitored by a sensor on the circle at point P; the other endpoint of the diameter on which the sensor lies is Q (see figure). Let e be the angle between the diameter PQ and the line from the sensor to the particle. Let c be the length of the chord from the particle's position to Q. de a. Calculate de de • acco b. Evaluate Sensor Particle

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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82. Angle to a particle (part 2) The figure in Exercise 81 shows the particle traveling away from the sensor, which may have influenced your solution (we
expect you used the inverse sine function). Suppose instead that the particle approaches the sensor (see figure). How would this change the solution? Explain
the differences in the two answers.
Sensor
D
Particle
Transcribed Image Text:82. Angle to a particle (part 2) The figure in Exercise 81 shows the particle traveling away from the sensor, which may have influenced your solution (we expect you used the inverse sine function). Suppose instead that the particle approaches the sensor (see figure). How would this change the solution? Explain the differences in the two answers. Sensor D Particle
81. Angle to a particle (part 1) A particle travels clockwise on a circular path of diameter D, monitored by a sensor on the circle at point P; the other endpoint
of the diameter on which the sensor lies is Q (see figure). Let e be the angle between the diameter PQ and the line from the sensor to the particle. Let c be the
length of the chord from the particle's position to Q.
de
a. Calculate
b. Evaluate
de
de
dele-0
Sensor
Particle
0
Transcribed Image Text:81. Angle to a particle (part 1) A particle travels clockwise on a circular path of diameter D, monitored by a sensor on the circle at point P; the other endpoint of the diameter on which the sensor lies is Q (see figure). Let e be the angle between the diameter PQ and the line from the sensor to the particle. Let c be the length of the chord from the particle's position to Q. de a. Calculate b. Evaluate de de dele-0 Sensor Particle 0
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