Two different masses are connected to two light and inextensible strings as shown in the figure....

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Two different masses are connected to two light and inextensible strings as shown in the figure. Both masses rotate about a central fixed point with constant angular speed of \( 10 \mathrm{rad} \mathrm{s}^{-1} \) on a smooth horizontal plane. Find the ratio of tensions \( T_{1} / T_{2} \) in the strings.
(Given: \( M_{1}=0.25 \mathrm{~kg}, M_{2}=1.0 \mathrm{~kg}, R_{1}=5 \mathrm{~cm}, R_{2}=10 \mathrm{~cm} \) )
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