Newton's second lawFind the force exerted by each cable to support the 625 N bag and 37 degree angle

A bag that weighs 625 N and is supported by cables at an
angle of 37 degrees would need a minimum of two cables. Here all the calculations have
been done using a two cable model to support the bag.

Now
we see that the downward force due to the bag is 625 N. As the cables are pointed
upwards at an angle of 37 degrees to the horizontal, the force of tension (T) can be
divided into two components: a vertical component of T sin 37 and a horizontal component
of T cos 37.

The vertical components of the tension of both
the cables point upwards and their sum is equal to the force of 625 N acting downwards.
Therefore we have that 2*T sin 37 = 625.

=>T sin 37
= 625/2

=>T sin 37 =
312.5

=> T = 312.5 / sin
37

=> T = 312.5 /
.6

=> T = 519.26
N

Therefore the force exerted by each cable
is 519.26 N