Simple harmonic motion rise and fall of water

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Homework Help Overview

The problem involves simple harmonic motion related to the rise and fall of water in a harbour, with specific parameters regarding water depth at low and high tides and the time interval between low tides.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the time period of oscillations and the amplitude of the tide. There is an attempt to clarify the conditions under which a ship can enter the harbour based on the water depth required.

Discussion Status

Some participants have provided hints regarding the calculations needed to determine the waiting time for the ship. There is an ongoing clarification regarding the interpretation of a specific statement related to the oscillator's position.

Contextual Notes

The original poster seeks guidance on how to approach the problem, indicating a need for further understanding of the concepts involved in simple harmonic motion and its application to the scenario presented.

thereddevils
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Homework Statement



The rise and fall of water in a harbour is simple harmonic. The depth of water varies between 5.0 m at low tide and 9.0 m at high tide. The time between sucessive low tides is 12 hours. A ship, which requires a minimum depth of 6.0 m approaches the harbour at low tide, how long the ship has to wait before entering the harbour?

Homework Equations





The Attempt at a Solution



A hint to start?
 
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The time period of oscillations is given to you as 12hrs, the amplitude is (9-5)/2 = 2 meters, now for the tide to be at least 6m (minimum need for ship to pass), your oscillator must be 1m away from the lowest position moving toward the center.
 
Shivpal said:
The time period of oscillations is given to you as 12hrs, the amplitude is (9-5)/2 = 2 meters, now for the tide to be at least 6m (minimum need for ship to pass), your oscillator must be 1m away from the lowest position moving toward the center.

Thanks Shivpal, but i don get the meaning of this sentence.

'your oscillator must be 1m away from the lowest position moving toward the center.'
 
thereddevils said:
Thanks Shivpal, but i don get the meaning of this sentence.

'your oscillator must be 1m away from the lowest position moving toward the center.'


Never mind, i got it.
 

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