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(II) For what directions of velocity would the Coriolis effect on an object moving at the Earth's equator be zero?
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Physics 101 Mechanics
Chapter 11
Angular Momentum; General Rotation
Moment, Impulse, and Collisions
Rotation of Rigid Bodies
Dynamics of Rotational Motion
Equilibrium and Elasticity
University of Michigan - Ann Arbor
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University of Sheffield
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Lectures
02:21
In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.
04:12
In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.
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The footnote on page 302 is giving us the acceleration of the Coriolis effect or the Korea we can say the Coriolis acceleration. And so this is giving us two times the angular velocity times our other two times the cross two times the vector of the angular velocity cross product with the linear velocity. And so we can say that the angular velocity vector is parallel to the axis of rotation for the Earth. So in order for this to be equal to zero than the velocity must be parallel to the axis of rotation of the Earth. And so we can say that velocity must be parallel two the access of rotation of Earth and at the equator. This simply means that you have to be moving due north or due south. So do north or due South would be our final answer. That is the end of the solution. Thank you for
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