Question Number 26864 by Tinkutara last updated on 30/Dec/17
Answered by ajfour last updated on 31/Dec/17
$${i}\:{thought}\:{one}\:{third}\:{overhanged}. \\ $$$${Now}\:{since}\:{one}\:{third}\:{part}\:{lies}\:{on} \\ $$$${table}\:{initially},\:{we}\:{can}\:{think}\:{this} \\ $$$${transmitted}\:{to}\:{join}\:{the}\:{lower} \\ $$$${end}\:{of}\:{the}\:{hanging}\:{part}\:{by}\:{the} \\ $$$${time}\:{it}\:{slips}\:{of}\:{the}\:{table}. \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{Mv}^{\mathrm{2}} =\left(\frac{{M}}{\mathrm{3}}\right){gh} \\ $$$${h}\:{is}\:{shift}\:{in}\:{centre}\:{of}\:{mass} \\ $$$${of}\:{the}\:{part}\:{that}\:{was}\:{on}\:{table}. \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{4}\right){v}^{\mathrm{2}} =\left(\frac{\mathrm{4}}{\mathrm{3}}\right)\left(\mathrm{10}\right)\left(\frac{\mathrm{4}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{3}}\right) \\ $$$$\Rightarrow\:\:\:{v}^{\mathrm{2}} =\frac{\mathrm{100}}{\mathrm{9}}\:\:{or}\:\:\:{v}=\frac{\mathrm{10}}{\mathrm{3}}\:\frac{{m}}{{s}}\:. \\ $$
Commented by Tinkutara last updated on 31/Dec/17
Thank you very much Sir! I got the answer.