Final answer:
Without additional information about the angles and arrangement of the cables AD and AC, it is not possible to determine the tensions in these cables based solely on the given tension in cable AB. However, the tension in cables can be calculated using the mass, gravitational force, and acceleration if those values are known.
Step-by-step explanation:
To determine the tension in cables AD and AC when the tension in cable AB is 577.73 N, we need more information about the system, such as the angles of the cables or other forces acting on the point of intersection. The question seems to be related to static equilibrium where the sum of forces in each direction must be zero. If this is a problem involving forces at different angles, typically we would break down the forces into their horizontal and vertical components and use trigonometry to solve for the unknowns.
In the absence of sufficient information to solve for tensions in cables AD and AC directly, let's consider another example which provides enough detail. When a cable raises a mass of 120.0 kg with an acceleration of 1.3 m/s2, the tension in the cable is calculated by summing the force due to gravity and the force required to accelerate the mass upwards. That is: Tension = Force due to gravity + Force due to acceleration = (mass × gravity) + (mass × acceleration).