Rotational Dynamics - moment of inertia finding

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Homework Help Overview

The problem involves calculating the net torque and angular acceleration of a seesaw with two children of different masses positioned at opposite ends. The seesaw has its fulcrum at the midpoint and is horizontal.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of the moment of inertia, with one noting that the formula mr^2 may not be sufficient. Another suggests that it can be used for part of the answer, prompting a breakdown of contributions from both the children and the seesaw.

Discussion Status

The discussion is ongoing, with participants exploring how to calculate the total moment of inertia by considering the contributions from the children as point masses and the seesaw as a thin rod. There is a suggestion to correct a minor error in the calculations.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply.

pat666
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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.)
 

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