Ib question bank generator#
Sketch a graph to show the variation with time of the generator output power. Label the time axis.Ī wave of amplitude 4.3 m and wavelength 35 m, moves with a speed of 3.4 m s–1. Show that the period of oscillation of the ball is about 6 s.Ī simple pendulum bob oscillates as shown.Ĭalculate the speed of the block as it passes the equilibrium position.Ĭalculate the time taken for the block to return to the equilibrium position for the first time.Ī mass at the end of a vertical spring and a simple pendulum perform oscillations on Earth that.ĭescribe the energy changes in the satellite Y-cable system during one cycle of the oscillation.Įstimate the value of k in the following expression.Ī spring loaded with mass m oscillates with simple harmonic motion. On the axes, draw a graph to show the variation with time. Aim 7: the observation of simple harmonic motion and the variables affected can be easily followed in computer simulations.At each increment, final values become the following initial conditions. The iterative approach (numerical solution), with given initial conditions, applies basic uniform acceleration equations in successive small time increments. By using the force law, a student can, with iteration, determine the behaviour of an object under simple harmonic motion. Aim 6: experiments could include (but are not limited to): investigation of simple or torsional pendulums measuring the vibrations of a tuning fork further extensions of the experiments conducted in sub-topic 4.1.Aim 4: students can use this topic to develop their ability to synthesize complex and diverse scientific information.Trigonometric functions (see Mathematics SL sub-topic 3.4).Quadratic functions (see Mathematics HL sub-topic 2.6 Mathematics SL sub-topic 2.4 Mathematical studies SL sub-topic 6.3).The interchange of energies in oscillation is important in electrical phenomena.The mathematics of simple harmonic motion is crucial to any areas of science and technology where oscillations occur Fourier analysis allows us to describe all periodic oscillations in terms of simple harmonic oscillators.Contexts for this sub-topic include the simple pendulum and a mass-spring system.Solving problems involving energy transfer during simple harmonic motion, both graphically and algebraically.
Describing the interchange of kinetic and potential energy during simple harmonic motion.Solving problems involving acceleration, velocity and displacement during simple harmonic motion, both graphically and algebraically.Numerical modelling of oscillators is important in the design of electrical circuits. The use of the equations is very powerful as any oscillation can be described in terms of a combination of harmonic oscillators. Physicists use such solutions to help them to visualize the behaviour of the oscillator. Insights: The equation for simple harmonic motion (SHM) can be solved analytically and numerically.
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