An insect  jumps from ball  A on to  ball B,  which  are suspended  from inextensible  light  strings  each of length  L=8 cm  The mass  of each ball  and insect is same .What should  be the minimum relative  velocity  (in ms-1) of jump  of insect  w.r.t ball  A, if  both  the balls  manage  to complete the full  circle?(g=10ms-2)

# An insect  jumps from ball  A on to  ball B,  which  are suspended  from inextensible  light  strings  each of length  L=8 cm  The mass  of each ball  and insect is same .What should  be the minimum relative  velocity  $\left({\text{in\hspace{0.17em}ms}}^{\text{-1}}\right)$ of jump  of insect  w.r.t ball  A, if  both  the balls  manage  to complete the full  circle?$\left({\text{g=10ms}}^{\text{-2}}\right)$

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### Solution:

For completing the full circle $\frac{u}{2}=\sqrt{5gL}⇒u=4{\text{ms}}^{-1}$

Relative velocity  $2u=8m{s}^{-1}$

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