Four point masses of 1.6 kg each are arranged in a square on massless rods. The

Question

Four point masses of 1.6 kg each are arranged in a square on massless rods. The length of a side of the square is d = 0.72 m.

(a) What is the rotational inertia for rotation about an axis passing through masses B and C?

____ kg ? m2

(b) What is the rotational inertia for rotation about an axis passing through masses A and C?

____kg ? m2

(c) What is the rotational inertia for rotation about an axis passing through the center of the square and perpendicular to the plane of the square?

____kg ? m2

I tried different formulas, and by using the pythagoren theorem but I still couldn't figure it out.

Thank you

Explanation / Answer

a) I=2*ma2

where a is side of square

I=1.6589 kgm2

b)here, the distance of particles from the axis=a/2

I=2m*d2

d=a/2

I=ma2=0.8294 kgm2

c)Distance from each square=a/2

I=4*md2

=2ma2=1.6589 kgm2

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