A 29 kg board 3.2 m long is supported in a horizontal position at the two ends. A 77 kg worker stands 1.4 m from one end. What forces are exerted by the board on the two support points?

Points closer to the worker.
(Answer: 567N)

Points farther from the worker.
(Answer: 472N)

Answers are provided above. Please show all work on how to get the answers.

a) A + 472N - 77kg * 9.8m/s^2 - 29kg * 9.8m/s^2 = 0

A = 567N

b) -(1.4m)(9.8m/s^2)(77kg - (3.2m) / 2 * (9.8m/s^2)(29kg) + 3.2B = 0
B = 472N