Question Number 20042 by Tinkutara last updated on 20/Aug/17
$$\mathrm{In}\:\mathrm{the}\:\mathrm{situation}\:\mathrm{given},\:\mathrm{all}\:\mathrm{surfaces}\:\mathrm{are} \\ $$$$\mathrm{frictionless},\:\mathrm{pulley}\:\mathrm{is}\:\mathrm{ideal}\:\mathrm{and}\:\mathrm{string}\:\mathrm{is} \\ $$$$\mathrm{light},\:{F}\:=\:\frac{{mg}}{\mathrm{2}}\:,\:\mathrm{find}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{of} \\ $$$$\mathrm{block}\:\mathrm{2}. \\ $$
Commented by Tinkutara last updated on 20/Aug/17
Commented by ajfour last updated on 21/Aug/17
$${F}=\frac{{mg}}{\mathrm{2}}={T}=\left(\mathrm{2}{m}\right){A} \\ $$$${A}\:{being}\:{accceleration}\:{of}\:{block}\:\mathrm{2} \\ $$$$\:\:\Rightarrow\:\:\:\:{A}=\frac{{g}}{\mathrm{4}}\:. \\ $$
Commented by Tinkutara last updated on 21/Aug/17
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much}\:\mathrm{Sir}! \\ $$