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Point Particle Dynamics
This model is applicable to a point particle (or to a system of objects treated as a point particle located at the system's [center of mass b]) when the external forces are known or needed. It is a subclass of the model Momentum and External Force defined by the constraint dm/dt = 0.
This model is typically applied to find the acceleration in cases where the forces will remain constant, such as an object moving along a flat surface like a ramp or a wall. It is also useful in combination with other models, such as when finding the normal force exerted on a passenger in a roller coaster at the top of a loop-the-loop (in which case, it would be combined with [Mechanical Energy and Non-Conservative Work]).
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Model
A single point particle, or a system of constant mass that is treated as a point particle located at the system's center of mass.
External forces must be understood sufficiently to draw a free body diagram for the system. Internal forces will always cancel from the equations of Newton's 2nd Law for the system and can be neglected.
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Relevant Examples
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Photos courtesy:
US Navy
by Mass Communication Specialist 3rd Class James R. Evans
US Army
by Spc. Michelle Waters
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