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Find the total mass of two turns of a spring with density ρ in the shape of the circular helix

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Find the total mass of two turns of a spring with density ρ in the shape of the circular helix

asked Feb 18, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 :  

The vector equation of the wire is and .

The wire density is .

Mass of the wire is .

Where image.

Compare with .

and .

Substitute and in equation (1).

  

Step 2 : 

Substitute and in .

image

 Find mass of the wire :

The mass of the wire is .

Solution : 

The mass of the wire is .

answered Feb 23, 2015 by Thomas Apprentice

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