You swing one yo-yo around your head in a horizontal circle. then you swing another yo-yo with twice the mass of the first one, but you don't change the length of the string or the period. how do the tensions in the strings differ?

Explanation:

You swing one yo-yo around your head in a horizontal circle. The tension acting in the string is equal to the centripetal force. Its formula is given by :

r is the radius of circular path or the length of the string. It remains constant. If the mass of the yo- yo swing is double such that, m' = 2m

New centripetal force is equal to,

So, the new tension in the strings gets doubled.

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