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Oscillations SHM 1 Simple harmonic motion defined Simple harmonic motion is the motion of any system in which the position of an object can be put in the form ... cos( ) x A t The velocity of such an object is given by … sin( ) x v A t Its acceleration is … 2 cos( ) x a A t x 2

Oscillations SHM 1 Simple harmonic motion defined Simple harmonic motion is the motion of any system in which the position of an object can be put in the

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Page 1: Oscillations SHM 1 Simple harmonic motion defined Simple harmonic motion is the motion of any system in which the position of an object can be put in the

OscillationsSHM

1

Simple harmonic motion defined

Simple harmonic motion is the motion of any system in which the position of an object can be put in the form ...

cos( )x A t

The velocity of such an object is given by …

sin( )xv A t

Its acceleration is …

2 cos( )xa A t x2

Page 2: Oscillations SHM 1 Simple harmonic motion defined Simple harmonic motion is the motion of any system in which the position of an object can be put in the

OscillationsSHM

2

x

Other definitions

)cos( tAx

tA

2

A is the amplitude of the motion. is the angular frequency of the motion. is the phase of the motion.

A graph of x versus t is very instructive.

Page 3: Oscillations SHM 1 Simple harmonic motion defined Simple harmonic motion is the motion of any system in which the position of an object can be put in the

OscillationsSHM

3

Other definitions

)cos( tAx

The period tells us the amount of time it takes for the object to come back to the same position. It is given by …

Frequency tells us how many times the object passes a certain position in one second. It is given by …

2

f

21

f

T