Dynamics

### Dynamics Two blocks, of masses mA = 0.35 kg and mB = 1.15 kg, are on a frictionles horizontal surface, the blocks are connected by a rope with negligible mass. A horizontal force of constant magnitude equal to 15 N is applied by pulling the two blocks. Find the magnitude acceleration acquired by the system and the tension in the rope connecting the blocks. ### Atwood Machine

An Atwood machine has masses, of mA = 6.25 kg and mB = 6.75 kg, connected by a weightless cord, through a pulley frictionless. Find:
a) The acceleration of the system;
b) The tension in the rope connecting the masses;
c) The tension in the rope that holds the system to the ceiling.
Assume the free-fall acceleration g = 10 m/s2. In the system of the figure, the body A slides on a horizontal surface without friction, dragged by body B that moves downward. Bodies A and B are attached by a rope of negligible mass parallel to the surface and passing through a frictionless pulley of negligible mass. The masses of A and B are respectively 32 kg and 8 kg. Find the acceleration of the system and the tension on the cord. Assume g = 10 m/s2. In the system of the figure, the body B slides on a horizontal surface without friction, it is connected through by ropes and pulleys, lightweight and frictionless, with two bodies A and C that move vertically. The masses of A, B, and C are, respectively, 5 kg, 2 kg and 3 kg. Find the acceleration of the system and the tension in the cord. Assume g = 10 m/s2. In an Atwood machine, the two bodies at rest on a horizontal surface, are connected by a cord, of negligible mass, that passes over a frictionless pulley of negligible mass. The masses weight mA = 24 kg and mB = 40 kg and the free-fall acceleration g = 10 m/s2. Find body accelerations when:
a) F = 400 N;
b) F = 720 N;
c) F = 1200 N. 