Unknown mass

Unknown Mass Challenge

In the picture above we can see an object with an unknown mass hanging from 2 ropes with different tensions and at different angles.

In this Free body diagram we see the forces and the components that affect this object, in this challenge we were asked to find the weight of the object. To do this we need to find FT1y and FT2y since all the forces in the Y axis need to be equal to 0.

To find these two forces you need Cos, and the strength of the original force (FT1, and FT2).

FT1y= Cos(20)= Adj

                            2.2

 Adj= 2.2 Cos(20)

FT1y=2.067

FT2y= Cos(55) = Adj

                               1

Adj = Cos(55)

FT2y = 0.573N

FT2y + FT1y + Fg = 0N

Fg = 2.067 + 0.573

 Fg = 2.64 N