Oscillator Problem Maximum speed & amplitude

AI Thread Summary
The discussion focuses on solving a physics problem involving an 800g oscillator with given speeds at specific displacements. Participants emphasize using conservation of energy to derive the spring constant, which is calculated to be approximately 147.4. Following this, the maximum speed is determined to be 121.7 cm/s, and the maximum amplitude is found to be 8.97 cm. The approach highlights the importance of energy equations in oscillatory motion. The calculations confirm the values for maximum speed and amplitude based on the provided data.
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Homework Statement


A 800g oscillator has a speed of 120.0 cm/s when its displacement is 1.5 cm and 55.0 cm/s when its displacement is 8.0 cm.

a. What is the oscillator’s maximum speed?

b. What is the oscillator’s maximum amplitude?



Homework Equations



A= sqroot(X^2+(V^2/w^2)
Vmax=wA

The Attempt at a Solution



I attempted to find the angular frequency but even with w=sqroot(k/m) i couldn't find a way to solve for w
 
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Write expressions for the total energy for the two known points (sum of PE and KE). There will be a single unknown to solve for. After that you should be able to continue.

Conservation of energy is a powerful tool for these type of problems.
 
i did this and solved for the Spring constant since this is what is not given and got K=147.4 ? correct ?
 
jjd101 said:
i did this and solved for the Spring constant since this is what is not given and got K=147.4 ? correct ?

Yup. You should be able to continue "as usual" from here.
 
I did this and got max velocity as 121.7cm/s and max amplitude as 8.97cm. right?
 

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