Oscillations – motions that repeat themselves Period ( T ) – the time for one complete oscillation Frequency ( f ) – the number of oscillations completed each unit of time Units: 1 Hertz ( Hz ) = 1 oscillation per second

Consider the forces acting on the mass when it is at rest. Equilibrium Position – Occurs when the net force acting upon an oscillating object is zero.

Consider the forces acting on the mass when it is at rest. Equilibrium Position – Occurs when the net force acting upon an oscillating object is zero. Net force acting on a mass on a spring

Simple Harmonic Motion – the motion executed by a particle of mass m subject to a force that is proportional to the displacement of the particle but opposite in sign. Restoring Force – A force that acts towards the equilibrium position and results in oscillatory motion. Hooke’s Law

Consider an object moving with uniform circular motion In rotational terms, the object moves with a constant angular velocity ω and therefore angular position θ is given by or If the object starts at

Consider the projection of the motion of this object onto the horizontal plane. This motion appears exactly like that of a mass on the end of a spring! Simple harmonic motion is the projection of uniform circular motion on a diameter of the circle in which the circular motion occurs

But Simple harmonic motion is the projection of uniform circular motion on a diameter of the circle in which the circular motion occurs Amplitude ( A ) – the magnitude of the maximum displacement from the equilibrium position

Simple harmonic motion is the projection of uniform circular motion on a diameter of the circle in which the circular motion occurs In rotation, ω refers to the angular velocity. For one complete oscillation But Simple Harmonic Motion – the motion executed by a particle of mass m subject to a force that is proportional to the displacement of the particle but opposite in sign. – periodic motion in which the position is a sinusoidal function of time