The uniform diving board has a mass of 27 kg. A) Find the force on the support A

Question

The uniform diving board has a mass of 27 kg.

A) Find the force on the support A when a 67 kg diver stands at the end of the diving board. The acceleration of gravity is 9.81 m/s2. Answer in units of kN

B) Find the force on the support B at that same instant.

The uniform diving board has a mass of 27 kg. A) Find the force on the support A when a 67 kg diver stands at the end of the diving board. The acceleration of gravity is 9.81 m/s2. Answer in units of kN B) Find the force on the support B at that same instant.

Explanation / Answer

this is a torque problem

Fa will be downward
Fb will be upward
Fw, weight of board, will be down at the middle of board
Fd, the diver, will be down at the end opposite A

take A as the pivot point
Tcw = Tccw
T at B = T middle + T end
Fb*1.2 = 27(9.81)*2.6 + 67(9.81)*5.2
Fb = 3418 N up
and
F up = F down
3418 = 4102 + Fa
Fa = 684.28 N down

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