7.3 Representing and Analyzing SHM

Describe the displacement, velocity, and acceleration of an object exhibiting SHM. TOPIC 7.3 Representing and Analyzing SHM

• For an object exhibiting SHM, the displacement of that object measured from its equilibrium position can be represented by the equations xA =co s2() ft or xA =si n2() .
  • i. Minima, maxima, and zeros of displacement, velocity, and acceleration are features of harmonic motion.
  • ii. Recognizing the positions or times at which the displacement, velocity, and acceleration for SHM have extrema or zeros can help in qualitatively describing the behavior of the motion.
• Changing the amplitude of a system exhibiting SHM will not change the period of that system.
• Properties of SHM can be determined and analyzed using graphical representations.