A uniform diving board is held by two fixed rods at points P and Q. A person stands at end R ofthe diving board, as shown.rodrodP RQThe forces exerted by the rods on the board are vertical. The board remains in equilibrium as theperson slowly moves towards point Q from end R.Which row describes the changes to the magnitudes of the forces exerted by the rods on theboard?force at P force at QA decreases decreasesB decreases increasesC increases decreasesD increases increases
Question
A uniform diving board is held by two fixed rods at points P and Q. A person stands at end R ofthe diving board, as shown.rodrodP RQThe forces exerted by the rods on the board are vertical. The board remains in equilibrium as theperson slowly moves towards point Q from end R.Which row describes the changes to the magnitudes of the forces exerted by the rods on theboard?force at P force at QA decreases decreasesB decreases increasesC increases decreasesD increases increases
Solution
The answer is B: decreases, increases.
Here's why:
When the person moves from point R towards point Q, the distance between the person and rod P increases while the distance between the person and rod Q decreases.
Since the force exerted by a rod is directly proportional to the weight it supports and inversely proportional to its distance from the weight, the force at P (which is getting further from the person) will decrease, and the force at Q (which is getting closer to the person) will increase.
So, as the person moves from R to Q, the force at P decreases and the force at Q increases.
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