The proof with the aid of parametric equation is as follows:
Friday 25 November 2022
Energy changes in simple harmonic motion
The above simulation of the simple harmonic motion involving a pendulum shows how the potential energy, PE and kinetic energy, KE, change with the position of the pendulum, provided that the latter swings through a small angle. As you can see the total energy of the system remains the same: the loss…
Thursday 24 November 2022
Simple Harmonic Motion of Pendulum
The above simulation shows how the angle of oscillation determines the validity of the formula of the simple pendulum. During the process of deriving the formula, we assume the angle is small and measured in radians. For the full tutorial, please follow this link .
Friday 4 November 2022
A Level further maths: equation of a half line  complex numbers
The following simulation, which is fully interactive, shows you how to derive the equation of a half line . A half line , by definition, is a line that stretches from a point in one direction up to infinity. You may change the position of the arbitrary point, denoted by Z, and the equation of the hal…
Wednesday 2 November 2022
Locus of a point: A Level further maths  complex numbers
With the following simulation, you can find out the equation of the locus of a point that moves in such a way that Argument(Z  z1) = Î˜. The locus of the point is a half line  a line that starts from a point and moves only in one direction from it up to infinity. You can change the position of Z  …
Resultant Moment of Forces  GCSE, IGCSE and A Level physics
With the following simulation, you can practise the moment of forces interactively. Moment of a force = force X perpendicular distance from the pivot The resultant moment or the total moment is the algebraic sum of the moments of forces. In the simulation, the clockwise moment is considered as posit…
A Level Core Maths: complex numbers and loci
The above simulation can be used to learn the locus of a point, under given conditions. Just move the point, Z, using the mouse and watch the appearance and disappearance of the shaded region. Alternatively, you can use the play button at the bottomright corner too.
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 Verification of the area of a circle
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