The pulley arrangement of fig. are identical. The mass of the rope is negligible. In (a) mass m is lifted up by attaching a mass (2 m) to the other end of the rope. In (b), m is lifted up by pulling the other end of the rope with a constant downward force F =2 mg. In which case, the acceleration of m is more ?

The pulley arrangement of fig. are identical. The mass of the rope is

1.	The pulley arrangement of fig. are identical. The mass of the rope is negligible. In (a) mass m is lifted up by attaching a mass (2 m) to the other end of the rope. In (b), m is lifted up by pulling the other end of the rope with a constant downward force F =2 mg. In which case, the acceleration of m is more ?
Answer» SOLUTION :Case (a): `a=((2m-m)/(2m+m))g` `a=(g)/(3)` Case (B): FBD of MASS m `ma'=T-mg` ma'=2mg-mg `rArr ma'=mg` a'=g So in case (b) ACCELERATION of m is more.