Simple Harmonic Oscillations
 

Simple Harmonic Oscillations problem 40


A tube, closed at one end, has a uniform area of cross-section. The tube contains some sand so that the tube floats upright in a liquid, as shown in the figure below.




When the tube is at rest, the depth of immersion of the base of the tube is . The tube is displaced vertically and then released. The variation with time of the depth of the base of the tube is shown in the graph below.




  • Use the graph to determine, for the oscillations of the tube,


    • the amplitude,


    • the period.


    • Calculate the vertical speed of the tube at a point where the depth is .


    • State one other depth where the speed will be equal to that calculated in (i).


 

main author and content editor: Ebenezer Famadewa