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

angle of string with boom = theta = tan-1(3.5 / 8) = 23.63 degrees

balancing moment about hinge point:

4 x 50g + 8 x 56 x 9.8 - 8 x Tsin23.63 = 0

T = 1980.40 N

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