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A picture frame is hanging by two vertical strings. The tensions in the strings are 3.8 N and 4.4 N. Find the weight of the picture frame. (8.2 N)

Difficulty: Easy

Solution:

Tension $T_{1}$ = 3.8 N
Tension $T_{2}$ = 4.4 N
Weight of the picture frame = w =?
 
When the picture is in equilibrium, then
 
∑ $F_{x}$ = 0 and ∑ $F_{y}$ = 0
Therefore T – w = 0
 
Or $(T_{1} + T_{2})$ – w = 0
              $T_{1} + T_{2}$ = w
          3.8 + 4.4 = w
                    W = 8.2 N
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