Simple Harmonic Motion s2

Simple Harmonic Motion

Vibrations

Every object has a _______________________ ________________________ of vibration.

Vibrating systems include:

_____________ ( ) = ____________ for one ______________________ units:

______________ ( ) = _______________ of ____________________ per unit ___________ units:

Relationship:

A vibration is defined as a _______________________ in __________

Comparing Circular Motion to SHM

It can be seen that for SHM: ____ a ____

From Newton’s Second Law: ____ a ____

Graphing

Equation: ___________________________________________

Example:

A mass is vibrating on a spring with an amplitude of 5cm. The period of vibration is 4s. Determine the position, velocity and the acceleration of the mass at 5s. (Assume the mass starts at its rest position).

Mass on a Spring

Example

For a spring-mass system on a horizontal table, k = 20 N/m. M = 0.5 kg, d = 0.2 m from the rest position. What is a) the position of the mass at any time? b) the period of the system

Pendulum

Example

A pendulum in a science museum has a length of 25 m. Determine a) the maximum velocity and b) the period of the pendulum.