The figure below shows Atwood s machine in which two

Last updated: 6/26/2023

The figure below shows Atwood s machine in which two containers are connected by a cord of negligible mass passing over a frictionless pulley also of negligible mass At time t 0 container 1 has mass 1 30 kg and container 2 has mass 3 16 kg but container 1 is losing mass through a leak at the constant rate of 0 274 kg s IN a At what rate is the acceleration magnitude of the containers changing at t 0 3 4849 x m s b At what rate is the acceleration magnitude of the containers changing at t 3 00 s 7 7948 x m s c When does the acceleration reach its maximum value Draw a free body diagram for container 1 and another one for container 2 Write Newton s second law for container 1 and also for container 2 The upward force on each is the same pull from the rope Assume container 2 accelerates down the y avis container 1 has the same magnitude of acceleration Once acceleration is determined in terms of m differentiate the expression with respect to time