AP Physics 1: Algebra-Based 7.3 Representing and Analyzing Shm Questions

Represent simple harmonic motion with displacement, velocity, acceleration and restoring force, then use graphs to compare oscillator behaviour.

Syllabus
Effective Fall 2024
Course
AP Physics 1: Algebra-Based

Exam points

  • link displacement, velocity, acceleration and restoring-force representations through phase
  • identify extrema and zeroes of SHM quantities at positions or times in a cycle
  • use graph slopes and time intervals to determine speed, speed change or distance travelled
  • calculate maximum speed from amplitude and oscillator parameters or maximum acceleration
  • compare oscillator graphs through amplitude, period, mass, average speed and acceleration

Question 1

[Maximum number: 3]
Figure for 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 1 — AP Physics 1: Algebra-Based
All question bank results loaded