Physics (AS & A Level) · Feb / March 2021 · Paper 52 · Question 1

A student investigates the vertical oscillations of a solid cylinder which floats in cooking oil. Fig. 1.1 shows a cylinder of radius r. r cylinder Fig. 1.1 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 π m σ Kr 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. You should draw a diagram, on page 3, showing the arrangement of your equipment. In your account you should pay particular attention to: • the procedure to be followed • the measurements to be taken • the control of variables • the analysis of the data • any safety precautions to be taken. 3 Diagram 4 [15]

Read automatically from the paper; the printed page above is exact.