Spring Mass System: Calculating Frequency, Acceleration, and Velocity

AI Thread Summary
The discussion revolves around solving a physics problem related to a mass-spring system, specifically calculating frequency, maximum acceleration, and maximum velocity. The mass causes a spring to extend 25mm to its equilibrium position and is then displaced an additional 20mm. Participants suggest starting with the displacement equation, x = A sin(wt + φ), to analyze the motion. The importance of identifying the weight of the mass is emphasized as a crucial step in the calculations. Overall, the thread highlights the challenges in applying the correct formulas and understanding the dynamics of harmonic motion.
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Homework Statement



a mass attached to the lower end of a vertical spring causes the spring to extend by 25mm to its equilibrium position. The mass is then displaced a further 20mm and released. a trace of the vibration and time mesurements are taken. From these mesurements it can be seen that the displacement from the equilibrium position is 19.2mm when the time is 0.05s

A) calculate the expected frequency of vibration

B) calculate the maximum acceleration of the mass

C) calculate the maximum velocity of the mass

Homework Equations



i believe the frequency formule to be f=1/T Hz

The Attempt at a Solution



i am having an problem knowing were to start with this as i believe the key is finding out the weight of the Mass any help or pointers would be greatfully recived

many thanks
 
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maybe you want first to write what is the expression of the displacement , then solve the rest of the question ..

hint: note that you are dealing with a special kind of motion here ..
 
thebigstar25 said:
maybe you want first to write what is the expression of the displacement , then solve the rest of the question ..

hint: note that you are dealing with a special kind of motion here ..

would that be the equation x=Asin(wt+o)
 
good .. try to start from there and let us know what you will get ..
 
I am still struggling to figure out how to use the displacement formule can anybody help to further highlight were i could start with this problem/Question

many thanks
 
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