## Simple Harmonic Motion

|SHM | Wave terms | Wave Phenomena |

associated with Comp 10.1 / chap 13

HW problems; answers: 1-4 and book

 SHM Harmonic motion - presence of a restoring force Simple Harmonic motion: a linear restoring force, the force is directly proportional to the displacement and in the opposite direction vocabulary frequency/period/angular frequency oscillation, cycle, vibration, equilibrium (rest) position Amplitude (linear/angular) axis of symmetry simple pendulum equations/limitations Resonance damping Mode: -transverse -longitudinal (translational) rarefaction/compression -torsional (rotational) period (T) in sec - the time it takes for one complete oscillation, vibration, or cycle frequency (f) =1/T in Hz (s^-1) - the number of oscillations, vibrations, or cycles per second angular frequency cycle/oscillation/vibration: one complete motion tothe point where the motion starts to repeat amplitude (A) typically in m or °/rad - the maximum displacement of the object from its equilibrium position or its axis of symmetry 3 types of SHM: 1) longitudinal 2) transverse 3) torsional   Longitudinal: the mass is displaced parallel (or antiparallel) to the axis of symmetry or the amplitude is along the axis of symmetry creating areas of compression and rarefaction; amplitude is measured as a distance transverse: the mass is displaced perpendicular to the axis of symmetry; amplitude is measured as a distance or an angle (angle is preferred) torsional: the mass is rotated around the axis of symmetry; amplitude is measured as an angle simple pendulum: system where the mass is concentrated a distance L from the pivot point             distance vs time What is the period? angle vs time What is the period? What is the actual equation (with units) for the curve? The amplitude is mesured in ___. The value "B" really represents ____. Calculate the period of the motion. damped oscillations Amplitude decreases caused by an outside force. resonance: when two oscillating systems share a common (or multiple of the same) frequency