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

(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.)

LO 6.A.1.2, SP 1.2; LO 6.D.3.2, SP 6.4; LO 6.D.3.4, SP 1.2; LO 6.D.4.2, SP 2.2 3 points
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.)

For a curve with a node (zero) at L / 2
1 point
For a curve with maxima at 0, L, and no other points
1 point
For a nonhorizontal curve that is symmetric around L / 2 and nonnegative everywhere
1 point