What Factors Influence Simple Harmonic Motion in a U-Tube?

AI Thread Summary
The discussion focuses on the effects of different liquids and conditions on simple harmonic motion (SHM) in a U-tube. Using oil instead of water does not change the time period, but increased viscosity leads to quicker damping of oscillations. Heating the water causes it to expand, resulting in a longer length of water and an increased time period. The internal diameter of the U-tube can influence the amplitudes of oscillation, with a suggestion to plot the time period against diameter to observe their relationship. Participants are encouraged to provide further insights and confirmations on these points.
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Homework Statement



These questions are regarding water undergoing SHM in a u-tube.

Q1) What is the effect on the time period and damping in a u-tube when using oil instead of water?

Q2) What is the effect on the time period if the liquid (inside the u tube) is heated?

Q3) How can the internal diameter of the u-tube affect successive amplitudes of oscillations? Devise a suitable experiment.

Homework Equations



N/A

The Attempt at a Solution



Q1) T is unchanged; oil is more viscous so friction between inside of tube is greater thus oscillations die away quickly.

Q2) Heating water makes it expand; length of water increases; T increases.

Q3) I think the ratio between successive amplitudes should be the same... could plotting T against D (diamter) and observing the relationship be sufficient?

Are these right? Can someone please expand on them?

Many thanks.
 
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