RI Y6 Remedial Oscillations and Wave Assignment

Raffles Institution Year 5-6 Physics Department 1 2025 Year 6 H2 Physics Remedial Chapter 10: Oscillations 1 The graph shows the variation of acceleration a with displacement x for an object undergoing simple harmonic motion. The simple harmonic motion system is altered so that it has a period half of that before. Which line shows the new variation of acceleration a with displacement x for the object? [ACJC/Prelims 2014/P1/18] 2 The diagram shows the graph of velocity against time for a body performing simple harmonic motion. At which point are the velocity and acceleration in opposite directions? [DHS/Prelims 2014/P1/15] time velocity A B 0 C D

Raffles Institution Year 5-6 Physics Department 2 3 The arrangement shown in Fig. 1.1 is used to determine the length x of a spring when different masses M are attached to the spring. Fig. 1.1 The variation with length x of mass M is shown in Fig. 1.2. Fig. 1.2 (a) State the natural length of the spring. [1] (b) Use Fig. 1.2 to determine the spring constant of the spring. [2] A mass m is then attached to the spring. The mass is displaced vertically then released. The variation with time t of the displacement y from its mean position is shown in Fig. 1.3. spring mass x x / cm M / kg 70 65 60 55 50 45 75 0 0.20 0.40 0.60

Raffles Institution Year 5-6 Physics Department 3 Fig. 1.3 (c) Calculate the angular frequency of the oscillation. [1] (d) The spring-mass system undergoes free oscillations. (i) Explain what is meant by free oscillations. [1] (ii) Determine the mass m that results in the oscillations shown in Fig. 1.3. [2] (iii) Hence or otherwise, find the length x of the spring at y = 0 cm. [1] [DHS/Prelims 2014/P3/1] 4 A mass of mass m was suspended from the bottom of a vertical spring, and set into oscillation with a period T. Measurements were made, and the resultant force F acting on the mass, and its velocity v were obtained. The graphs below were then plotted to show how F and v vary with the displacement x of the mass from its equilibrium position. Calculate: (a) the period of the oscillation, and (b) the mass m. [4] [VJC/Prelims 2014/P2/1] y / cm 0 t / s 0.25 0.50 0.75 1.00 1.25 1.50 0 F/ N x/m 0 0.45 -0.45 0.63 -0.63 v/ m s-1 x/m 0 0.45 -0.45 1.2 -1.2

Raffles Institution Year 5-6 Physics Department 4 Chapter 11: Wave Motion 1 The figure below shows the positions of a travelling wave at time intervals t = 0 and t = 2 s. Calculate the speed of the wave. A 0.5 cm s−1 B 2.0 cm s−1 C 0.5 m s−1 D 2.0 m s−1 [JJC/Prelims 2014/P1/25] 2 The diagram shows a transverse wave on a rope. The wave is travelling from left to right. At the instant shown, the points P and Q on the rope have zero displacement and m