Your friend’s family has a backyard swimming pool. Unfortunately, the pool has n
ID: 1513351 • Letter: Y
Question
Your friend’s family has a backyard swimming pool. Unfortunately, the pool has no diving board, so you and your friends decide to make one. You find a 9 ft-long, 30-lb board behind your friend’s garage. You place this board perpendicular to the edge of the pool so that 1/3 of it extends out over the water. To hold down the rear end of the board (the part that sits on the level ground next to the pool), you will place 80 lbs of weights (that you also found behind the garage) on the back edge. As you are working, you begin to wonder about the design. The largest person in your group weighs 190 lbs and you wonder how far out over the water your friend can safely stand on this board PLEASE USE DETAILS WHEN EXPLAINING
Explanation / Answer
mass of the board m1 = 30 lb
mass of person m2 = 190 lb
mass of the load = m3 = 80 lbs
In equilibrium net torque = 0
m3*g*(2/3)*l = m1*g*(2l/3 - l/2) + m3*g*x
l = 9
80*6 = (30*(6-4.5)) + (190*x)
x = 2.3 ft <<<-----answer
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