Physics

Problem

Two pendulums with bob masses

m_{1} = 2\,\text{kg}

and

m_{2} = 5\,\text{kg}

are suspended from the same point by strings of lengths

L_{1} = 1.0\,\text{m}

and

L_{2} = 1.7\,\text{m}

respectively. Both bobs rotate in the same horizontal plane at a vertical depth of

0.8\,\text{m}

below the suspension point. Determine the ratio of their linear speeds

\frac{v_{1}}{v_{2}}