Chapt. 16 Oscillations and Simple Harmonic Motion 149 Full-Answer Problems 016 qfull 00310 1 3 0 easy math: SHO period, frequency, ω 1. There is a simple harmonic oscillator (SHO) that takes a time Δ t = 0 . 75 s before it begins to repeat. What are its (a) period P , (b) frequency f (in hertz), and (c) angular frequency ω (in radians per second)? 016 qfull 00320 2 5 0 moderate thinking: maximum force of a SHO, etc. 2. A body of mass m = 0 . 12 kg is a simple harmonic oscillator (SHO) with equilibrium position x = 0, amplitude x max = 8 . 5 cm, period P = 0 . 20 s, and a linear (spring-like) restoring force. a) What is the force constant of the linear (or Hooke’s law) force? b) What is the maximum absolute value of the force acting on the body? c) What is the maximum absolute value of the acceleration of the body? 016 qfull 00350 3 3 0 tough math: general SHO solution results 3. The general solution of the 1-dimension simple harmonic oscillator problem, m d 2 x dt 2 = − kx , is x
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