An artist designs a mobile of light horizontal rods connected by vertical string

Question

An artist designs a mobile of light horizontal rods connected by vertical strings and supporting various shaped weights (see figure below). Find the magnitudes w2, w3, and w4 if w1 = 2.08 units of weight. The numerical values given in the figure all have units of length.

w2 = w3 = w4 = An artist designs a mobile of light horizontal rods connected by vertical strings and supporting various shaped weights (see figure below). Find the magnitudes w2, w3, and w4 if w1 = 2.08 units of weight. The numerical values given in the figure all have units of length

Explanation / Answer

w1 * 30 = w2 * 10 ;

2.08 * 30 = w2 * 10

w2 = 6.24 <--------ans

also

( w1 + w2 ) * 30 = ( w3 + w4 ) 30

( 2.08 + 6.24 ) * 30 = ( w3 + w4 ) * 30

w3 + w4 = 8.32 ---------1

also

w3 * 20 = w4 * 10 ----------2

using 1 and 2 ,

w3= 2.773 <----ans

w4 = 5.547 <-----ans

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