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PHY221 Ch7: W and KE. Recall main points: Work Energy Theorem Understand the derivation of the work energy theorem Know how to compute the work of a given force over an arbitrary displacement: Understand the meaning W= and how to apply it.
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PHY221 Ch7: W and KE • Recall main points: Work Energy Theorem • Understand the derivation of the work energy theorem • Know how to compute the work of a given force over an arbitrary displacement: Understand the meaning W= and how to apply it. • Know how to compute W for weight, spring force and gravity • Discussion and examples
PHY221 Ch7: W and KE Work Energy theorem in 3D with dot product: General Case Main Points Dot product in 2 dim, component definition: Dot product in 2 dim, magnitude angle: Dot product in 3 dim, component definition:
PHY221 Ch7: W and KE Main Points Work Energy theorem derivation; 3 dim general case (learn this)
PHY221 Ch7: W and KE Main Points Example UCM: Example 1Dim motion under constant force:
PHY221 Ch7: W and KE Main Points Example of Computation of W: W for weight:
PHY221 Ch7: W and KE Main Points Example of Computation of W: W for a Spring force:
PHY221 Ch7: W and KE Main Points Example of Computation of W: W for Gravity:
PHY221 Ch7: W and KE Main Points Example of use: Block down incline: get velocity at bottom: