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The graph shows how the displacement varies with time for an object undergoing simple harmonic motion. Which graph shows how the objects acceleration a varies with time f? A particle oscillates with simple harmonic motion with period T. At time t = 0, the particle has its maximum displacement. Which graph shows the variation with time t of the kinetic energy Efc of the particle? The graph shows measurements of the height h of sea level at different times t in the Bay of Fundy. Which of the following gives the approximate amplitude and period of the tides? IB Question bank Physics The graph shows how the velocity v of an object undergoing simple harmonic motion varies with time t for one complete period of oscillation Which of the following sketch graphs best shows how the total energy E of the object varies with f? This question is about oscillations and waves. (a) A rectangular piece of wood of length / floats in water with its axis vertical as shown in diagram 1. The length of wood below the surface is d. The wood is pushed vertically downwards a distance A such that a length of wood is still above the water surface as shown in diagram 2. The wood is then released and oscillates vertically. At the instant shown in diagram 3, the wood is moving downwards and the length of wood beneath the surface is d + x. On diagram 3, draw an arrow to show the direction of the acceleration of the wood. The acceleration a of the wood (in m s ) is related to x (in m) by the following equation. Explain why this equation shows that the wood is executing simple harmonic motion. The period of oscillation of the wood is 1.4 s. Show that the length / of the wood is 0.70 m. IB Question bank Physics The wood in (a), as shown in diagram 2, is released at time t = 0. On the axes below, sketch a graph to show how the velocity v of the wood varies with time over one period of oscillation. The distance A that the wood is initially pushed down is 0.12 m. Calculate the magnitude of the maximum acceleration of the wood. On your sketch graph in (b) label with the letter P one point where the magnitude of the acceleration is a maximum. The oscillations of the wood generate waves in the water of wavelength 0.45 m. The graph shows how the displacement D, of the water surface at a particular distance from the wood varies with time t. ratio of the displacement at t = 1.75 s to the displacement at t = 0.35 s. ratio of the energy of the wave at t = 1.75 s to the energy at t- 0.35 s Using the graph, calculate the n object at the end of a spring oscillates vertically with simple harmonic motion. The graph shows the variation with time t of the displacement x. The amplitude is xq and the period of oscillation is T. IB Question bank Physics
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