Simple Harmonic Motion Graph

Error

There was an error loading the page.

Contributors

Adrian Jannetta

History

○

Adrian Jannetta 6 years ago

Created this as a copy of Straight line graph.

Name	Status	Author	Last Modified
Adrian's copy of Reading a graph of a function.	draft	Adrian Jannetta	16/08/2023 14:56
Function graph 1	draft	Adrian Jannetta	16/08/2023 14:56
Function graph 2	draft	Adrian Jannetta	16/08/2023 14:56
Polynomial Graph 1	draft	Adrian Jannetta	16/08/2023 14:56
Polynomial Graph 2	draft	Adrian Jannetta	16/08/2023 14:56
Graph 3 (Inverse function?)	draft	Adrian Jannetta	16/08/2023 14:56
Modulus graph (1)	draft	Adrian Jannetta	16/08/2023 14:56
Modulus graph (2)	draft	Adrian Jannetta	16/08/2023 14:56
Quadratic modulus graph	draft	Adrian Jannetta	16/08/2023 14:56
Trig transformation (1)	draft	Adrian Jannetta	16/08/2023 14:56
Trig transformation (2)	draft	Adrian Jannetta	12/01/2024 10:05
Straight line graph	draft	Adrian Jannetta	16/08/2024 10:02
Straight line graph	draft	Mark Hodds	08/09/2019 16:31
Polar graph (geogebra) #1	Should not be used	Adrian Jannetta	30/04/2024 13:53
Polar graph (geogebra) #2	draft	Adrian Jannetta	16/08/2023 14:56
Arnd's copy of Polar graph (geogebra) #1	draft	Arnd Ludwig	01/08/2018 12:36
Simple Harmonic Motion Graph	draft	Adrian Jannetta	16/08/2023 14:56
Shifted Simple Harmonic Motion Graph	draft	Adrian Jannetta	16/08/2023 14:56
JD's copy of Simple Harmonic Motion Graph	draft	JD Ichwan	21/05/2019 05:18
JD's copy of Polynomial Graph 2	draft	JD Ichwan	21/05/2019 05:32
JD's copy of Polynomial Graph 1	draft	JD Ichwan	21/05/2019 05:32
JD's copy of Function graph 1	draft	JD Ichwan	21/05/2019 05:41
Maria's copy of JD's copy of Function graph 1	draft	Maria Aneiros	25/05/2019 07:25
Maria's copy of JD's copy of Polynomial Graph 1	draft	Maria Aneiros	25/05/2019 07:25
Michael's copy of Trig transformation (1)	draft	Michael Proudman	07/12/2021 10:48
Tom's copy of Michael's copy of Trig transformation (1)	draft	Tom Bold	18/06/2019 14:00
Josh's copy of Trig transformation - simple geogebra	draft	Josh Lim	01/07/2019 12:35
StraightLine	Ready to use	Mario Orsi	26/03/2025 16:05
Equazione esplicita di una retta dal grafico e della sua parallela e perpendicolare per un punto dato	Ready to use	Irene Paniccia	25/05/2020 23:39
Rett linje	Ready to use	Elena Malyutina	26/08/2024 14:27

There are 55 other versions that do you not have access to.

Question statement

The graph shows the displacement, $x$ metres, of a particle at time $t$ seconds, moving with simple harmonic motion about a fixed origin.

{geogebra_applet('https://ggbm.at/bkfp2s97', defs, [])}

(You can use the tools to zoom in/out and pan around the graph if necessary!)

Give any introductory information the student needs.

			Name	Type	Generated Value

defs	list	Nested 4×2 list
a	number	7.6
w	number	1.0471975512
c	number	1.5
P	integer	6
d	integer	0
f	number	2.25

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
[
  ['a',a],
  ['b',w],
  ['c',f],
  ['d',d]
]

JME function reference

Description

Sets the internal values of y = a*cos(wx+c)+d

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ [ "a", 7.6 ], [ "b", 1.0471975512 ], [ "c", 2.25 ], [ "d", 0 ] ]

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

What is the amplitude of the displacement?

Amplitude: Unnamed gap metres

Advice

(a) Amplitude: measure the height of the peak from the middle of the wave ($x=0$ line).

(b) Period: measure the horizontal distance from one peak to the next. The period, in seconds, is the time taken for the particle is undergo one oscillation.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

My First Exam by Danielle Bewsher in Danielle's workspace.
Simple Harmonic Motion by Adrian Jannetta in Foundation Maths.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Adrian Jannetta 6 years ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

Loading...

Error

Simple Harmonic Motion Graph

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Adrian Jannetta 6 years ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`