Light Rod

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What is the moment of inertia about the rotation axis?

A playground toy has four seats, each 5.1kg , attached to very light rods of length r= 1.5m. If two children, with masses of 16kg and 25kg , sit in seats opposite one another, what is the moment of inertia about the rotation axis?

Just so you know, the answer above me is incorrect. :)

Anyways, I just did this question for a physics test! Okay, so the moment of inertia is basically the moment of inertia of each of the seats, individually, added up. Two of the seats are empty; two have children in them. So you would do this problem like this:

I = s1 + s2 + s3 + s4

(The total moment of inertia is equal to the sum of the four seat's moments of inertia.)

For the first two seats, which we shall say are empty, they each equal (M = mass, R = radius):

s1, s2 = M * (R^2) = 5.1 * (1.5^2) = 11.475

Each of the next seats have children in them, so we have to add the masses of the children to the masses of the seats.

s3 = M * (R^2) = (5.1 + 16) * (1.5^2) = 47.475

s4 = M * (R^2) = (5.1 + 25) * (1.5^2) = 67.725

And then we just add them all up to get the total. :]

I = s1 + s2 + s3 + s4 = (11.475) + (11.475) + (47.475) + (67.725) = 138.15

I hope I helped!

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