Two bodies of m asses 10 kg and 20 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string, a horizontal force F = 600 N is applied to (i) A, (ii) B along the direction of string. What is the tension in the string in each case ?

Two bodies of m asses 10 kg and 20 kg respectively kept on a smooth, h

1.	Two bodies of m asses 10 kg and 20 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string, a horizontal force F = 600 N is applied to (i) A, (ii) B along the direction of string. What is the tension in the string in each case ?
Answer» SOLUTION :(i)conditionwhenforceis appliedon objectB Lettensionin string= T Formotionof A formotionof B `(m_(2))/(m_(1))= (F-T)/( T )= (F)/( T )= (T )/( T ) - (F )/( T )-1` `:. , (30)/( 10)= (600)/( T )` (ii) Whenforceis appliedon lignterobject`(m_(1))` Motionof A `m_(1)a = F - T` `m_(2)a = T` Bytakingratioof(2) and (1) `(m_(1))/(m_(2))= (F -T)/(T )= (F )/( T^(2)) - 1` `:. (30)/(20) =(600)/( T)` `:. T= 400 N`