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Summary Simple Harmonmic Motion iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr´ ıguez Lexter Savio Rodr´ ıguez HONORS PHYSICS
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HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Aug 02, 2020

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Page 1: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

iMater Charter Middle/High School

HONORS PHYSICS

Lexter Savio Rodrıguez

Lexter Savio Rodrıguez HONORS PHYSICS

Page 2: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Summary

1 Simple Harmonmic Motion

Restoring force

Simple Harmonmic Motion

Period

Lexter Savio Rodrıguez HONORS PHYSICS

Page 3: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Restoring force

Lexter Savio Rodrıguez HONORS PHYSICS

Page 4: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Restoring force

Lexter Savio Rodrıguez HONORS PHYSICS

Page 5: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Restoring force

Lexter Savio Rodrıguez HONORS PHYSICS

Page 6: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Simple Harmonmic Motion

Restoring force

The restoring force is a force which acts to bring a body to its

equilibrium position.

The restoring force is a function only of position of the mass or

particle, and it is always directed back toward the equilibrium

position of the system.~F = −k~x

Simple Harmonmic Motion

It is a special type of periodic motion or oscillation where the

restoring force is directly proportional to the displacement and

acts in the direction opposite to that of displacement.

Lexter Savio Rodrıguez HONORS PHYSICS

Page 7: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Simple Harmonmic Motion

Restoring force

The restoring force is a force which acts to bring a body to its

equilibrium position.

The restoring force is a function only of position of the mass or

particle, and it is always directed back toward the equilibrium

position of the system.~F = −k~x

Simple Harmonmic Motion

It is a special type of periodic motion or oscillation where the

restoring force is directly proportional to the displacement and

acts in the direction opposite to that of displacement.

Lexter Savio Rodrıguez HONORS PHYSICS

Page 8: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Simple Harmonmic Motion

Lexter Savio Rodrıguez HONORS PHYSICS

Page 9: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Mass on a spring

A mass m attached to a spring of spring constant k exhibits simple

harmonic motion in closed space. The equation for describing the

period:

T = 2π

√m

kω2 =

k

mf = 1/T

Mass of a simple pendulum

In the small-angle approximation, the motion of a simple pendulum

is approximated by simple harmonic motion. The period of a mass

attached to a pendulum of length l with gravitational acceleration

g is given by:

T = 2π

√l

gω2 =

g

lf = 1/T

Lexter Savio Rodrıguez HONORS PHYSICS

Page 10: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Mass on a spring

A mass m attached to a spring of spring constant k exhibits simple

harmonic motion in closed space. The equation for describing the

period:

T = 2π

√m

kω2 =

k

mf = 1/T

Mass of a simple pendulum

In the small-angle approximation, the motion of a simple pendulum

is approximated by simple harmonic motion. The period of a mass

attached to a pendulum of length l with gravitational acceleration

g is given by:

T = 2π

√l

gω2 =

g

lf = 1/T

Lexter Savio Rodrıguez HONORS PHYSICS

Page 11: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Simple Harmonmic Motion

Lexter Savio Rodrıguez HONORS PHYSICS

Page 12: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Check these links for more details.

https://www.youtube.com/watch?v=gZ KnZHCn4M

https://www.youtube.com/watch?v=tudxily5Qu0

Lab simulations

Masses & Springs

https://phet.colorado.edu/en/simulation/mass-spring-lab

Pendulum Lab

https://phet.colorado.edu/en/simulation/pendulum-lab

Lexter Savio Rodrıguez HONORS PHYSICS

Page 13: HONORS PHYSICS - iMater Charter Middle/High School€¦ · 29/03/2020  · iMater Charter Middle/High School HONORS PHYSICS Lexter Savio Rodr guez Lexter Savio Rodr guez HONORS PHYSICS.

Summary Simple Harmonmic Motion

Check these links for more details.

https://www.youtube.com/watch?v=gZ KnZHCn4M

https://www.youtube.com/watch?v=tudxily5Qu0

Lab simulations

Masses & Springs

https://phet.colorado.edu/en/simulation/mass-spring-lab

Pendulum Lab

https://phet.colorado.edu/en/simulation/pendulum-lab

Lexter Savio Rodrıguez HONORS PHYSICS