Movers are looking to lower a cabinet out of an open window to a mattress on the ground below. One end of a rope is tied to a 193 kg dresser, looped through a pulley, and the other end of the rope is tied to a cabinet. If the coefficient of kinetic friction between the dresser and floor is 0.680 and the tension on the rope is 2.39×103 N, what is the mass of the cabinet?

1 answer

I wonder if the cabinet is accelerating down
call it a

ma = mg - T
m(9.81-a) = 2390

T - .68 * 193 *9.81 = 193 a
or
193 a = 2390 - 1287
a = 5.71 m/s^2 (dangerous)

m (9.81-5.71) = 2390
m = 583 kg