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AP Physics 1 7.3: Representing and Analyzing SHM

Represent simple harmonic motion with displacement, velocity, and acceleration, connecting each quantity to position in the oscillation.

Syllabus
Effective Fall 2025
Course
AP Physics 1: Algebra-Based

Exam points

  • Use SHM representations to identify displacement, velocity, and acceleration at positions in an oscillation.

7.3 Representing and Analyzing SHM question 1

[Maximum number: 3]
Figure for Question 7.3 Representing and Analyzing SHM question 1 — AP Physics 1: Algebra-Based

(7 points, suggested time 13 minutes)
A tuning fork vibrating at 512 Hz is held near one end of a tube of length L that is open at both ends, as shown above. The column of air in the tube resonates at its fundamental frequency. The speed of sound in air is 340 m/s.

The column of air in the tube is still resonating at its fundamental frequency. On the axes below, sketch a graph of the maximum speed of air molecules as they oscillate in the tube, as a function of position x, from x=0 (left end of tube) to x=L (right end of tube). (Ignore random thermal motion of the air molecules.)

Figure for Question 7.3 Representing and Analyzing SHM question 1 — AP Physics 1: Algebra-Based
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