When a system of particles is subjected to only conservative forces, write the mathematical form.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...
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When a system of particles is subjected to only conservative forces, write the mathematical form.

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Step 1

Concept of conservative forces 

Those forces which are independent of the path or only depends on initial and final points are called conservative forces

 

 

Step 2

Let us consider particles whose position in x-y-z plane is (x,y,z)A. and particle moves from A(x,y,z) to B (x+dx, y+dy, z+dz)

Particle A is subjected to conservative forces F.

Mechanical Engineering homework question answer, step 2, image 1

 

 

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