Rotational Dynamics - moment of inertia finding

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The discussion focuses on calculating the net torque and angular acceleration of a seesaw with two children at opposite ends. The net torque was correctly calculated as 83.385 Nm, which equals Iα. To find the moment of inertia, it is necessary to consider the contributions from both children and the seesaw, treating the children as point masses and the seesaw as a thin rod. The correct formula for the total moment of inertia involves summing the individual contributions without any negative signs. The conversation emphasizes the importance of accurately applying the moment of inertia formula for each component involved.
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Homework Statement


2 children, masses 35kg and 40kg sit at opposite ends of a 3.4m seesaw with mass 25kg with the fulcrum at midpoint. with the seesaw horizontal find
a) the net torque
b)angular acceleration

Homework Equations



tau=rF=Ialpha

The Attempt at a Solution


i got the right answer for a ----83.385Nm which i know is equal to Ialpha. my problem is finding the moment of inertial i have tried mr^2 which i knew wouldn't work (tried it just to make sure) anyways i need some help
 
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pat666 said:
my problem is finding the moment of inertial i have tried mr^2 which i knew wouldn't work (tried it just to make sure) anyways i need some help
Actually mr^2 will work for part of the answer. To find the total moment of inertia, add up the contributions of each part: The two children plus the seesaw itself. Hint: Treat the children as point masses; treat the seesaw as a thin rod.
 
so for the the total moment of inertia: 40*1.7^2+-35*1.7^2+Irod?
 
pat666 said:
so for the the total moment of inertia: 40*1.7^2+-35*1.7^2+Irod?
Yes. (But get rid of that minus sign--I suspect it's just a typo.)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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