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lilacfrog729Lv1
6 Oct 2020
The initial position, velocity, and acceleration of an object moving in simple harmonic motion are ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/0.png?img=e9ed0a08ae91f513473d199ae72681b8)
, ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/1.png?img=586b983a10217121fcb438dcc588c3f1)
and ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/2.png?img=96e548d2d77257dd0776fe401a89d94d)
, the angular frequency of oscillation is ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/3.png?img=34e07de6624db73162c0fb3fa0499829)
.
(a) Show that the position and velocity of the object for all time can be written as:
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/4.png?img=8685ee176be55a895701978d2e098dbc)
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/5.png?img=0da6e127adf862ad2780ba4d64bfa304)
(b) Using A to represent the amplitude of the motion, show that
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/974358531249736/question/6.png?img=7cce0a7acfe9ca38654a94f4453eee08)
The initial position, velocity, and acceleration of an object moving in simple harmonic motion are
(a) Show that the position and velocity of the object for all time can be written as:
(b) Using A to represent the amplitude of the motion, show that
KathLv10
18 Nov 2020