If you are preparing for an upcoming physics competition, practicing these foundational multi-tier proofs will hone your intuition for tracking energy profiles and non-inertial constraint equations.
Harvard’s course page (search “Morin Mechanics Solutions PDF”) – legally available as instructor’s companion. Morin’s book is the unofficial textbook for the USAPhO. The end-of-chapter problems are legendary for their difficulty and elegance. Solutions are detailed and often include multiple approaches (Lagrangian vs. Newtonian). You will find a direct link to the solutions manual on Harvard’s physics department archive. If you are preparing for an upcoming physics
Books by Péter Gnädig and E. Sh规律 (Cambridge University Press) feature non-standard, brain-teasing problems highly relevant to national and international physics competitions. You will find a direct link to the
The angular impulse equation about the center of mass is given by: If you are preparing for an upcoming physics
is the mass rate arriving at the table.For a free-falling body over a distance v=2gxv equals the square root of 2 g x end-root The mass hitting the table per unit time is:
When the sphere is placed on the surface, sliding friction acts in the direction opposite to the initial velocity