Light Diving

Light Diving
Diver stands at the edge of a light diving board, find forces on the pillars?

A 73 kg-diver stands at the edge of a light 5.20-m diving board, which is supported by two pillars 1.20 m apart.

Consider the forces of which there are three: the diver and the two supports. These must sum to 0 so:

Fa = force on pillar A
Fb = force on pillar B
Force of diver = mass*g = 73*9.8 = 715.4 N

Fa + Fb - 715.4 = 0

Now lets look at the torques using the left most pillar as our reference point so that pillar will produce no torque.

Pillar B produces an upward or clockwise torque = Fb*1.2
Diver produces a counterclockwise torque = 715.4*5.2 = 3720.08 N-m

The combined torques must be 0 so:
Fb*1.2 - 3720.08 = 0
Fb = 3720.08/1.2 = 3100.07 N (upward)

Now for Fa we use the force equation:
Fa + Fb - 715.4 = 0
Fa = 715.4 - Fb = 715.4 - 3100.07
Fa = -2384.7

So the forces are:
Pillar A force = 2384.7 = 2.3847 kN in a downward direction
Pillar B force = 3100.07 = 3.10007 kN in an upward direction

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