The pulley arrangements of fig (a) and (b) are identical. The mass of the rope is negligible. In (a) the 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. Which of the following is correct?

The pulley arrangements of fig (a) and (b) are identical. The mass of

1.	The pulley arrangements of fig (a) and (b) are identical. The mass of the rope is negligible. In (a) the 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. Which of the following is correct?
Answer» In pulling force , ` F = (2mg- T) = 2 mg - mg = mg ` total mass moved , ` = m + 2 m = 3 m ` `:.` Acceleration , ` a = a = ("force")/("mass")= (mg)/(3m )= (g)/(3) ` the pulling force , `F = (2mg-T) = 2 mg - mg = mg ` mass moved = m `:.` Acceleration `a (f)/(m) = (mg)/(m) = g ` ,

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