Simple Harmonic Motion experiment help

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In the experiment, an increase in the length of the beam resulted in greater depression due to the principles of leverage and moments, where a longer lever arm increases the torque for a constant weight. The oscillation observed when the mass was pulled down and released demonstrated simple harmonic motion, with the frequency increasing as the length decreased. This relationship is explained by the formula for the period of a pendulum, where a shorter length leads to a shorter period and thus a higher frequency. The discussion emphasizes the importance of understanding the mechanics of levers and moments in explaining these phenomena. Overall, the experiment highlights key concepts in mechanics related to simple harmonic motion and beam deflection.
incalculable
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I did an experiment at school, and the experiment SET UP that i did is basically shown in the word attachment link.

http://www.schoolphysics.co.uk/age16-19/Mechanics/Statics/experiments/bending_of_a_beam.doc.

I have two questions!

Question 1:when i did the experiment, I found that with a greater length (L), the depression (y) was also greater (the weight was constant).

So the question is,WHY would the depression would increase as the length increases.

Question 2:We were also told to pull the mass down, and then release it. This resulted in the ruler oscillating up and down - exhibiting simple harmonic motion.
I found that (when the weight is constant) when you decrease the length (L), the time period of oscillations decreased, and so the frequency increased.

I again want to know WHY the frequency increased as length decreases.

NOTE:The attachment was just there to clarify what the experiment setup was like, as i felt i wouldn't be able to explain it well. In reality we only measured the change in depression (y) as the length (L) increased and how the frequency changed with increasing length (L) (when we displaced the masses). We always used a constant mass of 1kg.
The questions 1 and 2 that i have asked are things I don't understand myself.If someone could also provide equations to help explain the results i would be extreeeeemely grateful!
 
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Hint: Levers.
 
so, are you implying its to do with moments?
 
incalculable said:
so, are you implying its to do with moments?
Yes.
 

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