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__Simple Harmonic Motion__

PH100-ENGINEERING PHYSICS : Simple Harmonic Motion-Slides

Simple Harmonic Motion

Back and forth motion that is caused by a force that is directly

proportional to the displacement. The displacement centers

around an equilibrium position.

Springs – Hooke’s Law

One of the simplest type

of simple harmonic

motion is called

Hooke's Law. This is

primarily in reference to

SPRINGS.

The negative sign only

tells us that “F” is what is

called a RESTORING

FORCE, in that it works in

the OPPOSITE direction

of the displacement.

Hooke’s Law

Common formulas which are set equal to

Hooke's law are N.S.L. and weight

Example

A load of 50 N attached to a spring hanging vertically stretches the

spring 5.0 cm. The spring is now placed horizontally on a table

and stretched 11.0 cm. What force is required to stretch the

spring this amount?

Frequency

The FREQUENCY of a wave is the inverse of the

PERIOD. That means that the frequency is the

#cycles per sec. The commonly used unit is

HERTZ(HZ).

SHM and Uniform Circular Motion

•The radius of a circle is symbolic of the

amplitude of a wave.

•Energy is conserved as the elastic

potential energy in a spring can be

converted into kinetic energy. Once

again the displacement of a spring is

symbolic of the amplitude of a wave

•Since BOTH algebraic expressions

have the ratio of the Amplitude to the

velocity we can set them equal to each

other.

•This derives the PERIOD of a SPRING

Simple Harmonic Motion

Back and forth motion that is caused by a force that is directly

proportional to the displacement. The displacement centers

around an equilibrium position.

Springs – Hooke’s Law

One of the simplest type

of simple harmonic

motion is called

Hooke's Law. This is

primarily in reference to

SPRINGS.

The negative sign only

tells us that “F” is what is

called a RESTORING

FORCE, in that it works in

the OPPOSITE direction

of the displacement.

Hooke’s Law

Common formulas which are set equal to

Hooke's law are N.S.L. and weight

Example

A load of 50 N attached to a spring hanging vertically stretches the

spring 5.0 cm. The spring is now placed horizontally on a table

and stretched 11.0 cm. What force is required to stretch the

spring this amount?

Frequency

The FREQUENCY of a wave is the inverse of the

PERIOD. That means that the frequency is the

#cycles per sec. The commonly used unit is

HERTZ(HZ).

SHM and Uniform Circular Motion

•The radius of a circle is symbolic of the

amplitude of a wave.

•Energy is conserved as the elastic

potential energy in a spring can be

converted into kinetic energy. Once

again the displacement of a spring is

symbolic of the amplitude of a wave

•Since BOTH algebraic expressions

have the ratio of the Amplitude to the

velocity we can set them equal to each

other.

•This derives the PERIOD of a SPRING

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