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The object or the group of objects whose motion is being described using a model. |
System versus Environment
In each physics problem, some object or objects will have their motion described by a chosen model. That object or objects then form the system that the model applies to. There will usually be other objects that influence the motion of the system, but whose motion is not modeled. Those other objects constitute the environment. The environment will influence the system only through interactions that generate forces, work or torques on the system.
System Specification
In solving a mechanics problem, the system is specified by stating which objects will constitute the system and how those objects will be idealized. In introductory mechanics, objects can always be idealized to meet the criteria for inclusion in one of the following four categories:
- Point Particle:
Excerpt Include point particle point particle nopanel true - Rigid Body:
Excerpt Include rigid body rigid body nopanel true - Massless Object:
Excerpt Include massless object massless object nopanel true - Infinitely Massive Object:
Excerpt Include infinitely massive object infinitely massive object nopanel true
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Some problems solved using angular momentum may involve a person or object changing shape to alter their/its moment of inertia. In this case, the person or object will often be idealized twice, as two different rigid bodies (the "before configuration" and the "after configuration"). This is permissible because a conservation process does not require detailed information about the intermediate stages where the person or object is actually changing shape. |
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If the intermediate stages of a shape-changing process are of interest, a common practice is to idealize the relevant person or object as a collection of point particles and rigid bodies. A person's arm, for example, might be idealized as two thin cylinders attached together (one for the upper arm, one for the forearm). |
| Wiki Markup |
| {table:border=1|frame=void|rules=cols|cellpadding=8|cellspacing=0} {tr:valign=top} {td:width=350|bgcolor=#F2F2F2} {live-template:Left Column} {td} {td} {excerpt}The object or the group of objects whose motion is being described using a [model|model]. {excerpt} h3. System and Environment h4. Definitions In each physics problem, some object or objects will have their motion described by a chosen [model|model]. That object or objects then form the system that the [model] applies to. There will usually be other objects that influence the motion of the system, but whose motion is not modeled. Those other objects constitute the [environment|environment]. The [environment|environment] will influence the system only through interactions that generate [forces|force], [work|work] or [torques|torque] on the system. h4. Examples h5. Block on Inclined Plane In a typical inclined plane problem where a box slides down the plane, the box would be the logical system to consider. The plane and the earth will be the [environment|environment]. The [environment|environment] affects the system through [interactions|interaction]. In this example, the earth affects the system through the force of [gravity|gravity (near-earth)], and the plane affects the system through [forces|force] like the [normal force|normal force] and (possibly) [friction|friction]. h5. Atwood's Machine In a typical [Atwood's Machine] problem where two boxes are held together by a rope that passes over a massless pulley, the boxes will generally be treated as _two separate systems_. The relevant [model] ([Point Particle Dynamics]) is most easily applied to the two boxes separately. For each box, the relevant pieces of the [environment|environment] are the rope ([tension|tension]) and the earth ([gravity|gravity (near-earth)]). If the pulley is massive, it may be treated as a third system with the [tension|tension (near-earth)] from the ropes as an [interaction|interaction] (in this case represented as [torques|torque (single-axis)]). h3. System Specification In solving a mechanics problem, the system is specified by stating which objects will constitute the system, whether those objects will be treated as [point particles|point particle], [rigid bodies|rigid body], or [massless objects|massless object]. Note that the environment is not part of the system. The environment is described through its [interactions|interaction]. {note}Some problems (like the Atwood's Machine described above) may require more than one system to be considered. {note} {td} {tr} {table} {live-template:RELATE license} |