A particle $$\(P\)$$ of mass $$\(m \mathrm{~kg}\)$$ is attached to one end of a light elastic string of natural length 2 m and modulus of elasticity $$\(2 m g \mathrm{~N}\)$$. The other end of the string is attached to a fixed point $$\(O\)$$. The particle $$\(P\)$$ hangs in equilibrium vertically below $$\(O\)$$. The particle $$\(P\)$$ is pulled down vertically a distance $$\(d \mathrm{~m}\)$$ below its equilibrium position and released from rest. Hence find the speed of $$\(P\)$$ when it is 2 m below $$\(O\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . * 0000800000006 *

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