Moment of Inertia and Center of Mass for Point Particles

[jenc305]

I am having difficulty solving the first part of this problem. I have tried to many ways to find the ratio of m_a/m_b but I can't seem to get the correct answer. Can someone point me in the right direction. Thanks.

 

[Päällikkö]

Could you show the methods you've tried?

I think there's a mistake in the pdf you provided:
I_a = m_aL²
Should be:
I_a = m_bL² (mass a's distance from axis a is 0).