9702/52/F/M/21: A student investigates the vertical oscillations of a solid cylinder which floats in cooking oil. Fig. 1.1 shows a cylinder of radius r. The student places the cylinder of mass m in the oil. The cylinder is displaced vertically from its equilibrium position and released so that it oscillates. The period T of the oscillations is determined. A number of cylinders of different mass are available.
It is suggested that the relationship between T and m is
\(T = 2 \sqrt{\dfrac{\pi m}{\sigma K r^2}} \)
where σ is the density of the oil and K is a constant.
Design a laboratory experiment to test the relationship between T and m. Explain how your results could be used to determine a value for K.
Solutions for practical Paper 5 variant 1 Question 1 February/March 2021 Cambridge A Level Physics.
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