The time an object first passes a point in simple harmonic motine

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Homework Help Overview

The discussion revolves around a problem in simple harmonic motion, specifically concerning the position of a mass oscillating on a spring described by a cosine function. The original poster seeks to determine the time at which the mass first reaches a specific position.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss substituting a specific position into the given equation to solve for time. There are attempts to clarify the reasoning behind solving for 't' and the use of inverse cosine in the calculations.

Discussion Status

The discussion includes attempts to solve the problem, with one participant indicating they resolved their issue by adjusting their calculator settings. There is a mix of exploration and clarification regarding the steps involved in finding the solution.

Contextual Notes

Participants note the importance of understanding the relationship between the variables involved in the harmonic motion equation, as well as the potential confusion arising from calculator settings affecting the results.

cyugsi2
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1. The position of a mass oscillating on a spring is given by x=(.078m)cos[2∏t/(.68s)] when is the mass first at the position x=-.078m



x=A cos(2πt/T).



3. the frequency is 1.47. I really don't know were to go from here. can anyone help me?
 
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If you substitute x= -0.078 into the equation they gave to you, what variable can you solve for?
 
Never mind I solved the problem I just needed to change my calculator from degree to radiants
 
rock.freak667 said:
If you substitute x= -0.078 into the equation they gave to you, what variable can you solve for?

thanks but i just used the inverse cos.

(inverse cos(x/a)) / (2∏/2.4) = t
 
Once you understand why you were solving for 't' in the first place :)
 

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