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Amplitude

relationship between amplitude and ene…

period (T)

Frequency (f)

how high the peaks are or how low the troughs are, in meters.…

larger amplitude=greater energy

time it takes for one cycle in seconds... =1/frequency

how many cycles per second (in Hz=cycles/sec)

Amplitude

how high the peaks are or how low the troughs are, in meters.…

relationship between amplitude and ene…

larger amplitude=greater energy

Amplitude

Period

Frequency

Angular frequency

Amplitude (A): how high the peaks are or how low the troughs…

Period (T): the time it takes for one cycle, in seconds.... T =…

Frequency (f): the rate, or how many cycles per second, in He…

Angular frequency (w): the rate, in how many radians per seco…

Amplitude

Amplitude (A): how high the peaks are or how low the troughs…

Period

Period (T): the time it takes for one cycle, in seconds.... T =…

What model describes the motion of an…

What causes acceleration and decelerat…

What is the amplitude of a wave?

How is the period/frequency affected i…

Dampened harmonic oscillation

Restoring force

Magnitude of the displacement of the object from equilibrium

Stay constant (no change)

What model describes the motion of an…

Dampened harmonic oscillation

What causes acceleration and decelerat…

Restoring force

Angular displacement (θ)

Average Angular Velocity (ω)

Average Angular Acceleration (α)

Rolling Motion

The angle through which a rigid object rotates about a fixed…

Angular speed with a direction. Angular displacement divided…

The rate of speeding up or slowing down spinning motion. angu…

Rotational motion, such as car tires, that are in contact wit…

Angular displacement (θ)

The angle through which a rigid object rotates about a fixed…

Average Angular Velocity (ω)

Angular speed with a direction. Angular displacement divided…

Oscillation

Restoring force

displacement

equilibrium position

repetitive back and forth motion

spring force that restores the spring back to equilibrium pos…

the distance of the spring from equilibrium poaition

the spring is at rest, not stretched or compressed, origin

Oscillation

repetitive back and forth motion

Restoring force

spring force that restores the spring back to equilibrium pos…

Kepler's 1st law

an ellipse is described by_____

A larger radius means a

Kepler's 2nd law

the orbit of a planet is an ellipse with the sun at one focus

2 axes

slower speed

the line joining a planet and the sun sweeps out equal areas…

Kepler's 1st law

the orbit of a planet is an ellipse with the sun at one focus

an ellipse is described by_____

2 axes

1st law -

An ellipse is described by what two ax…

A path connecting the two foci to the…

Larger radius orbit means ____ speed

the orbit of a planet is an ellipse with the sun at one focus

Long semimajor, short semi minor

length

slower

1st law -

the orbit of a planet is an ellipse with the sun at one focus

An ellipse is described by what two ax…

Long semimajor, short semi minor

displacement

amplitude

equilibrium

crest

-distance from the equilibrium ... -when displacement = max (amp…

-max distance fr equilibrium line... -V = 0 at amplitude

-the midline ... -force = 0... -zero displacement

the highest point on the graph

displacement

-distance from the equilibrium ... -when displacement = max (amp…

amplitude

-max distance fr equilibrium line... -V = 0 at amplitude

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Period

Effects of amplitude, mass, and length…

Period of a pendulum equation

Frequency

time it takes to make one round trip... "T"

amplitude: none... mass: none... length: longer length -> period le…

how often one cycle or period occurs

Period

time it takes to make one round trip... "T"

Effects of amplitude, mass, and length…

amplitude: none... mass: none... length: longer length -> period le…

periodic motion

force of the spring pulling up and the…

rest position

balanced

motion that repeats at a constant rate

what are the 2 forces working on a mass at rest that is attac…

the position of a mass (on a spring) at rest

when the mass reaches the system equilibrium position, the fo…

periodic motion

motion that repeats at a constant rate

force of the spring pulling up and the…

what are the 2 forces working on a mass at rest that is attac…

Simple Harmonic motion

Period

Frequency

Amplitude

vibrational motion

The time required to complete one full cycle of motion. Given…

the number of vibrations that occur during a specified amount…

the magnitude of displacement of the object from equilibrium

Simple Harmonic motion

vibrational motion

Period

The time required to complete one full cycle of motion. Given…

Galileo

amplitude of their initial displacement

amplitude of their initial displacement

ideal pendulum

who was the first to scientifically study pendulums

the period of a pendulum is independent on what?

the period of a spring mass system in SHM are independent on…

what has a mass suspended from an ideal spring or massless rod?

Galileo

who was the first to scientifically study pendulums

amplitude of their initial displacement

the period of a pendulum is independent on what?

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

periodic motion

rest position

amplitude

cycle

recurring back-and-forth or cyclical motion of a system in a…

the position of an oscillating system exactly half way betwee…

the maximum displacement from the rest position of a system e…

one complete back-and-forth motion or rotation in periodic mo…

periodic motion

recurring back-and-forth or cyclical motion of a system in a…

rest position

the position of an oscillating system exactly half way betwee…

Oscillation

wave

periodic motion

frequency

one period/cycle

an oscillation accompanied by a transfer of energy that trave…

an action that is carried out repeatedly in equal intervals/d…

the rate at which one oscillation occurs per second

Oscillation

one period/cycle

wave

an oscillation accompanied by a transfer of energy that trave…

List three example of one dimensional…

List three examples of two dimensional…

What is circular motion?

What takes longer, one earth rotation…

What makes a flat surface.... A)A man walking in a straight line…

What makes a round surface.... A)A boat on a river or a water su…

Circular motion is a motion in a circle.

Earth's revolution takes the longest it takes 365.25 days to…

List three example of one dimensional…

What makes a flat surface.... A)A man walking in a straight line…

List three examples of two dimensional…

What makes a round surface.... A)A boat on a river or a water su…

Objective

periodic motion

Simple Harmonic Motion

restoring force

to study periodic motion using a mass suspended from a spring…

repetitive motion of an object about a stable equilibrium pos…

special case of periodic motion where the restoring force is…

will act to slow the object down until it stops at an equal d…

Objective

to study periodic motion using a mass suspended from a spring…

periodic motion

repetitive motion of an object about a stable equilibrium pos…

1 dimensional motions

Examples of 1 dimensional motions

2 dimensional motions

Examples of 2 dimensional motions

If it moves along a straight line in any given direction it i…

A man working in a straight path. ... Motion of an object droppe…

The motion of an object in a circular path at a constant speed.

Motion of a boat in a river. ... Motion of earth around the sun.…

1 dimensional motions

If it moves along a straight line in any given direction it i…

Examples of 1 dimensional motions

A man working in a straight path. ... Motion of an object droppe…

One Dimensional Motion

Two Dimensional Motion

Circular Motion

Earth Rotation

-An object traveling in a straight line; Ex:Car traveling a s…

-Not in a straight line; Ex:Car going around a curve

-When an object is traveling in a circle, around a fixed point

-24 Hours

One Dimensional Motion

-An object traveling in a straight line; Ex:Car traveling a s…

Two Dimensional Motion

-Not in a straight line; Ex:Car going around a curve

A mass attached to a spring vibrates b…

A mass attached to a spring vibrates b…

A simple pendulum swings in simple har…

The angle between the string of a pend…

velocity reaches a maximum

acceleration reaches a maximum

the acceleration reaches a maximum

amplitude

A mass attached to a spring vibrates b…

velocity reaches a maximum

A mass attached to a spring vibrates b…

acceleration reaches a maximum

List three example of one dimensional…

What makes an object one dimensional?

List three examples of two dimensional…

What makes them two dimensional?

Walking in a straight line, Driving down a straight away, Dro…

It makes them a 1 dimensional object because it moves along a…

Earth around the sun, A bullet fired from a gun, Boat in the…

If it moves coordinates are required to describe the motion o…

List three example of one dimensional…

Walking in a straight line, Driving down a straight away, Dro…

What makes an object one dimensional?

It makes them a 1 dimensional object because it moves along a…

What are the important equations assoc…

How do standing waves behave?

What is amplitude of a wave and what d…

What is the speed of sound in relative…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

A: how high the peaks are or how low the troughs are, in mete…

Fastest to slowest:... Solid>liquid>gas... (The reason why sound tr…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

How do standing waves behave?

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Acceleration

Average acceleration

Average speed

Circular motion

Change in velocity divided by the time it takes for the chang…

change in velocity divided by change in time

The overall rate of speed at which an object moves; calculate…

Type of motion where velocity is constantly changing because…

Acceleration

Change in velocity divided by the time it takes for the chang…

Average acceleration

change in velocity divided by change in time

Force

Deceleration

Acceleration

Vector Quantity

A push or pull that causes a change in the motion of a partic…

The slowing down of an object (accelerating in the negative d…

The rate of change in velocity (vector quantity)... a = (final v…

Something that has both magnitude (speed) AND direction

Force

A push or pull that causes a change in the motion of a partic…

Deceleration

The slowing down of an object (accelerating in the negative d…

{ Reference point } -

{ Motion } -

{ Frame of Reference } -

{ Speed } -

Something that doesn't move so you can explain where the obje…

An object you can explain is moving, but view differently.

Describing where the object is moving or how the object is mo…

Distance traveled divided by the time interval during which t…

{ Reference point } -

Something that doesn't move so you can explain where the obje…

{ Motion } -

An object you can explain is moving, but view differently.

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Simple Harmonic Motion

Linear Restoring Force

Springs

Spring constant

Motion of an object oscillating back and forth about some equ…

A force that is linearly proportional to the distance of the…

When a spring with a mass attached to one end is compressed o…

A measure of a spring's stiffness, denoted by k.... The higher…

Simple Harmonic Motion

Motion of an object oscillating back and forth about some equ…

Linear Restoring Force

A force that is linearly proportional to the distance of the…

simple harmonic motion

period

frequency

amplitude

a cycle of motion where it heads in one direction, comes to r…

time required to complete one full cycle of motion. symbol: T…

the number of vibrations that occur during a specific amount…

magnitude of displacement of the object from equilibrium. sym…

simple harmonic motion

a cycle of motion where it heads in one direction, comes to r…

period

time required to complete one full cycle of motion. symbol: T…

Displacement

Distance

Distance & Displacement

Speed

-The shortest path moved in a certain direction (shortest dis…

-How far you travel from point A to point B... -A scalar quantit…

Distance > = displacement

-Is defined as distance traveled per unit time... -A scalar quan…

Displacement

-The shortest path moved in a certain direction (shortest dis…

Distance

-How far you travel from point A to point B... -A scalar quantit…

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

Spring Frequency (ƒ): ƒ=cycles/sec = (1/2π)(√k/m) = 1/T = ω/2…

Angular Frequency/Velocity ω = √(g/L) ... PE (stored E) = mgh =…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C: (A) = both ends open; (C) = both ends closed…

What are the important equations assoc…

Spring Frequency (ƒ): ƒ=cycles/sec = (1/2π)(√k/m) = 1/T = ω/2…

What are the important equations assoc…

Angular Frequency/Velocity ω = √(g/L) ... PE (stored E) = mgh =…

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

What are the important equations assoc…

What are the important equations assoc…

What is the difference between a trans…

How do standing waves behave?

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

Transverse is perpendicular to direction of propagation (radi…

Figures A and C:... ƒ(of n)=nv/2L... λ(of n)=2L/n... Figure B:... ƒ(of n)…

What are the important equations assoc…

spring constant k ... F=-kx... ω = √(k/m) ... PE=½kx²... PEmax is at m…

What are the important equations assoc…

Force constant mg/L ... F(restoring)=-mgsinθ... F(tension) = mgcos…

simple harmonic motion

period

frequency

amplitude

a cycle of motion where it heads in one direction, comes to r…

time required to complete one full cycle of motion. symbol: T…

the number of vibrations that occur during a specific amount…

magnitude of displacement of the object from equilibrium. sym…

simple harmonic motion

a cycle of motion where it heads in one direction, comes to r…

period

time required to complete one full cycle of motion. symbol: T…

4. Substitution is your best friend

5. Read carefully

6. Remember centripetal force anytime…

11. Remember that properties of string…

You rearranged the equation correctly, but failed to substitu…

Here they were asking for the expected period for L=9, not ho…

In this problem they wanted to know T of the rope. The variab…

increasing the density is just as much of a change in string…

4. Substitution is your best friend

You rearranged the equation correctly, but failed to substitu…

5. Read carefully

Here they were asking for the expected period for L=9, not ho…

PERIOD: T... FREQUENCY: f= 1/T... AMPLITUDE: A

DAMPENED HARMONIC IS A SYSTEM THAT LOS…

HOOKES LAW: F=-kx ... k= spring constant…

POTENTIAL ENERGY OF A SPRING: can be U…

...

...

...

...

PERIOD: T... FREQUENCY: f= 1/T... AMPLITUDE: A

...

DAMPENED HARMONIC IS A SYSTEM THAT LOS…

...

Describe simple harmonic motion. What…

What is a "restoring force"? What is i…

What are Newton's three laws of motion?

A higher spring constant "k" indicates…

In SHM, a particle or mass oscillates about an equilibrium po…

A force in harmonic motion that acts to bring the mass back t…

1) An object at rest will remain at rest unless acted on by a…

A stiffer spring

Describe simple harmonic motion. What…

In SHM, a particle or mass oscillates about an equilibrium po…

What is a "restoring force"? What is i…

A force in harmonic motion that acts to bring the mass back t…

Periodic Motion

Mass- Spring Force F(S)

Mass- Spring Potential Energy U(El)

Spring Angular Frequency

Objects that Oscillate (moves in a repetitive way)... Ex. Sprin…

F(S)= -KX

U(EL)=½KX²

ω= 2πƒ =2π/T =√k/m... -Frequency depends on k & m

Periodic Motion

Objects that Oscillate (moves in a repetitive way)... Ex. Sprin…

Mass- Spring Force F(S)

F(S)= -KX

Force

Newton

Net force

unbalanced forces

a push or pull exerted on an object.

The SI unit used for the magnitude, or strength, of a force.

The overall force on an object when all the individual forces…

Forces that cause an object's velocity to change.

Force

a push or pull exerted on an object.

Newton

The SI unit used for the magnitude, or strength, of a force.

period

T

frequency

what is the unit for frequency?

T, the time required to complete one full cycle of motion... in…

period- the time required to complete one full cycle of motion

f, the number of vibrations that occur during a specified amo…

Hertz

period

T, the time required to complete one full cycle of motion... in…

T

period- the time required to complete one full cycle of motion

constant

oscillation

oscillatory

equilibrium

A measure of a spring's stiffness, denoted by k is known as t…

movement back and forth at a regular speed

motion that repeats in a consistent pattern around an equilib…

A state of balance

constant

A measure of a spring's stiffness, denoted by k is known as t…

oscillation

movement back and forth at a regular speed

Scalar

Vector

Speed

Velocity

Quantity has only magnitude.

Quantity must have both magnitude and direction.

Rate of change of distance... = distance/time

Rate of change of displacement... = displacement/time

Scalar

Quantity has only magnitude.

Vector

Quantity must have both magnitude and direction.

periodic motion

vibration and oscillation

vibration

oscillation

any kind of repetitive motion

what are the two types of motion

back and forth random motion

larger slower motion

periodic motion

any kind of repetitive motion

vibration and oscillation

what are the two types of motion

Name an example of simple harmonic mot…

What are the 3 characteristics or SHM?

Describe the relationship between f an…

What can cause energy loss, which lead…

Vibratory motion

- Period - Time needed for 1 full cycle of motion (T)... - Frequ…

f=1/T

- Friction... - Frequency and period

Name an example of simple harmonic mot…

Vibratory motion

What are the 3 characteristics or SHM?

- Period - Time needed for 1 full cycle of motion (T)... - Frequ…