# UBC PHAS Demonstration Room Catalog

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demonstrations:4_thermodynamics:4d_kinetic_theory:local_and_global_minimum:start

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 demonstrations:4_thermodynamics:4d_kinetic_theory:local_and_global_minimum:start [2019/02/14 23:33]127.0.0.1 external edit demonstrations:4_thermodynamics:4d_kinetic_theory:local_and_global_minimum:start [2020/01/28 19:01] (current)demoroom 2020/01/28 19:01 demoroom 2019/04/25 00:09 demoroom 2019/04/25 00:09 demoroom 2019/02/14 23:33 external edit Next revision Previous revision 2020/01/28 19:01 demoroom 2019/04/25 00:09 demoroom 2019/04/25 00:09 demoroom 2019/02/14 23:33 external edit Line 1: Line 1: ====== Local And Global Minimum ====== ====== Local And Global Minimum ====== - {{tag>track ball miminum local global minima needs_review untagged unlocated}} + {{tag> ​mathematics thermodynamics potential_energy kinetic_energy located}} Line 11: Line 11: ===== Description ===== ===== Description ===== - Demonstrates the concept ​of local and global minima. + Consists ​of a bent piece of aluminum extrusion. A pair of lab stands is used to hold it so it may be shown. - + - + - Minima, potential energy ​  ​Updated on: 01/20/16 + - + ===== Purpose ===== ===== Purpose ===== + Demonstrates the concept of local and global minima, and allows the kinematics surrounding local and global minima to be easily explored. Can also be used to explain the difference between minima and maxima in regards to the stability of a system. ​ ===== Apparatus ===== ===== Apparatus ===== - + * Curved track - - Curved track + ​* ​Steel ball bearing - - Steel ball + * Pair of [[demonstrations:​9_equipment:​lab_stands:​|lab stands]] and appropriate clamps - + ===== Setup ===== ===== Setup ===== - + - Using two stands, set up the apparatus as shown in the picture. - 1. Using two stands, set up the apparatus as shown in the picture. + ​- ​The metal ball can oscillate in the local minimum or global ​minimum with ease. - 2. The metal ball can oscillate in the local minimum with ease. + ​- ​If the ball is given enough momentum, it will climb out of the local minimum and find the global minimum. ​ - 3. If the ball is given enough momentum, it will climb out of the local minimum and find the global minimum. ​ + - + ===== Notes ===== ===== Notes ===== Line 57: Line 47: - | **Location** | ---- | + | **Location** | M2 | | **Maker** | Unknown | | **Maker** | Unknown | | **Current State** | Working | | **Current State** | Working |