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2015-01-25T03:34:20+05:30

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Please see the diagram.

Mass of blade = m kg.  Mass of handle is M. kg  Mass of spade = M+m. kg

We balance the moments of mass/weights, using products of arm lengths to the centers of masses and masses.

from the top figure,

   [ (30/L)m ] * 15 = [(L-30)/L * m ] * (L-30)/2 + M * (20 + L/2)
   900*m  = m (L-30)² + M *(40+L) L
   60 m =  40 M  + (m+M) L    --- (1 )

from the next diagram, we get:
 
   (50 - L/2) m + (50-L)/2 * [(50-L)*M/(100-L)] = 2 *50 + 25 * [ 50*M/(100-L) ]

so we get,
   (100-L) [100 m - L m - 200 ] = M (100 -L ) L
     100 m = 200 + (m+M) L
   using --(1) we get
       100 m = 200 + 60 m -40 M
         40 (M+m) = 200
     M+m = total weight of spade  = 200/40 =  5 kg

2 5 2