Oscillator Max Speed - Calculate Vmax

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Homework Help Overview

The problem involves determining the maximum speed of an oscillator given its mass, speeds at specific displacements, and the relationship between speed, displacement, and amplitude in harmonic motion.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between speed, displacement, and amplitude, exploring the use of trigonometric functions to express these variables. There is confusion regarding the definition of certain variables, such as omega, and how to apply them in calculations.

Discussion Status

Some participants have provided insights into the equations that relate the variables, while others are clarifying terminology and seeking guidance on which values to use in their calculations. Multiple interpretations of the problem are being explored, particularly regarding the role of mass and its relevance to the solution.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to determine amplitude from the provided data points and the potential implications of mass in the context of the oscillator's behavior.

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Homework Statement



A 284 g oscillator has a speed of 94.86 cm/s when its displacement is 2.98 cm and 74.06 cm/s when its displacement is 5.92 cm. What is the oscillator's maximum speed?

Homework Equations


Vmax=2pi*f*A


The Attempt at a Solution


confused as to wat the AMP would be
 
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If you let x = A*sin(w*t) then v = A*w*cos(w*t).

Then you can see that (v/w)^2 + x^2 = A^2.

Thats enough information to solve for w because you have 2 points given:

(v1/w)^2 + x1^2 = (v2/w)^2 + x2^2.

In turn you can solve for A and finally vmax.

I don't see any use for the mass unless there is another part to the problem to find the spring constant or something like that.
 
When you wrote w, did you mean omega or weight?
 
ok i solved for w
and i was going to put it into the other equation u gave me for A but i don't kno which V or X to put in for it
 
v1, x1 : a speed of 94.86 cm/s when its displacement is 2.98 cm
v2, x2 : 74.06 cm/s when its displacement is 5.92 cm
 

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