The system as shown in fig is released from rest. Calculate the tension in the strings and force exerted by the strings on the pulley. Assuming pulleys and strings are massless

The system as shown in fig is released from rest. Calculate the tensio

1.	The system as shown in fig is released from rest. Calculate the tension in the strings and force exerted by the strings on the pulley. Assuming pulleys and strings are massless
Answer» SOLUTION :`T_(1)-1g=1a"____(1)"` `T_(2)-T_(1)=3a"____(2)"` `2g-T_(2)=2A"____(3)"` Solving the above equations, we get, `a=(g)/(6)m//s^(2)` `T_(1)=(7g)/(6)N, T+(2)=(5g)/(3)N` FORCE on pulley `P_(1)` is `F_(1)=sqrt(T_(1)^(2)+T_(1)^(2))` `=sqrt2T_(1)=(7g)/(3sqrt2)N` Force on pulley `P_(2)` is `F_(2)=sqrt(T_(2)^(2)+T_(2)^(2))` `=sqrt2T_(2)=(5sqrt2g)/(3)N`