phy2048 lecture28

# phy2048 lecture28 - Chapter 15 Oscillations 151 What Is...

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Unformatted text preview: Chapter 15: Oscillations 151 What Is Physics? 152 Simple Harmonic Motion (SHM) 153 The Force Law for SHM 154 Energy in SHM 155 An Angular SHM 156 Pendulum 157 SHM and Uniform Circular Motion 158 Damped SHM 159 Forced Oscillation and Resonance Chapter 15 Homework 7, 13, 15, 24, 28, 34, 35, 38, 40, 41, 49, 63 Examples Sample Problem 15-1. Spring-Block System m = 680 g, k = 65 N/m, x(0) = 11 cm, v(0) = 0, equilibrium position x = 0. Find , T, xm, vm (where), am (where), Sample Problem 15-2. Horizontal Spring-Block System x(0) = 8.50 cm, v(0) = 0.920 m/s, a(0) = +47.0 m/s2. Find , , xm x(t ) = xm cos(t + ) v(t ) = -xm sin(t + ) a (t ) = - 2 xm cos(t + ) = Spring - Block k m , T = 2 m k Energy in SHM Spring - Block = k m x(t ) = xm cos(t + ) v(t ) = -xm sin(t + ) 2 U (t ) = 1 kxm cos 2 (t + ) 2 2 K (t ) = 1 kxm sin 2 (t + ) 2 2 E = U + K = 1 kxm 2 Sample Problem 15-3. Mass Damper m1 = 2.72105 kg, f = 10.0 Hz, xm = 20.0 cm Find E, v(x = 0)? Other Simple Harmonic Oscillators SHM : d 2x dt 2 2 = - x T = 2 Torsion Pendulum = - I T = 2 Physical Pendulum I T = 2 mgh Simple Pendulum L T = 2 g < 10 sin ...
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phy2048 lecture28 - Chapter 15 Oscillations 151 What Is...

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