Deriving SHM from Uniform Circular Motion Projection
Consider a point P moving in uniform circular motion with constant angular speed \(\omega\) along a circle of radius \(A\) centred at the origin. Assume P starts at \((A, 0)\) at time \(t=0\).\n\nExplain how the projection of this circular motion onto the horizontal diameter (the x-axis) results in simple harmonic motion (SHM). In your explanation, […]
Analysis of 3D Angles and Distances in a Tetrahedron
Consider a tetrahedron with vertices A, B, C, and D. The coordinates are given as follows: A = (0, 0, 0), B = (6, 0, 0), C = (0, 8, 0), and D = (2, 3, 5). Let H be the foot of the perpendicular from D to the base plane ABC. (a) Identify the […]