1) A diver of mass 43.0kg stands on the end of a uniform diving board over...

1) A diver of mass 43.0kg stands on the end of a uniform diving board over the water. The board is 7.00m long and has a mass of 75kg. The end of the board opposite the diver is attached to the platform. The bounce of the board is adjusted by a roller underneath that can be moved back and forth. The roller is 2.80 m from the fixed end of the board. a) What are the magnitude and the direction of the force on the board due to the roller? Show your work and explain your reasoning. b) What are the magnitude and the direction of the force on the board due to the diver? Assume the diver is stationary and the board is not bouncing. Show your work and explain your reasoning

Solutions

Expert Solution

Forces acting on diving board are,

i) Weight of the diving board , vertically downwards , acting at a distance of from the fixed end.

ii) Weight of the diver , vertically downwards, acting at a distance of from the fixed end.

iii) Roller force , vertically upwards, acting at a distance from the fixed end.

iv) Forces at the fixed point.

Given that , , ,

a) Net torque due to the forces about the fixed end is zero.

Magnitude of roller force on board

Direction of roller force pn board is vertically upwards.

b) Magnitude of force due to diver on board

Direction of force due to diver on board is downwards.

genius_generous answered 1 year ago

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