A table with smooth horizontal surface is placed in a cabin which moves in a circle of a large radius R = 100m with omega = 3 rad/s (see figure ) . A smooth pulley of small radius is fastened to the table . Two masses m and 2m placed on the table are connected through a string going over the pulley . initially the masses are held by a person with the strings along the outward radius and then the system is released from rest (with respect to the cabin ) . Then the magnitude of the initial accelerationof the mass m as seen from the cabins is n xx 100 . Find n .

A table with smooth horizontal surface is placed in a cabin which move

1.	A table with smooth horizontal surface is placed in a cabin which moves in a circle of a large radius R = 100m with omega = 3 rad/s (see figure ) . A smooth pulley of small radius is fastened to the table . Two masses m and 2m placed on the table are connected through a string going over the pulley . initially the masses are held by a person with the strings along the outward radius and then the system is released from rest (with respect to the cabin ) . Then the magnitude of the initial accelerationof the mass m as seen from the cabins is n xx 100 . Find n .
Answer» Solution :By Newton's second law , we can WRITE `(2m) omega^(2) R - T = (2m) a "" ….. (i)` and `"" T - m omega^(2) R = ma "" …..(II)` After SIMPLIFYING, above equation , we get `a = 300 m//s^(2)`