Question

launch the simulation, then answer the question. coplanar force systems what happens to the force on the rope a - c as the weight changes? the magnitude decreases and theta changes. the magnitude stays the same and the angle changes. the magnitude increases and the angle stays the same. the magnitude stays the same and the angle stays the same.

Explanation:

Step1: Analyze force - equilibrium in coplanar system

In a coplanar force system, when the weight of the crate changes, for the system to remain in equilibrium, the forces in the ropes must adjust. The force in rope AC is related to the weight of the crate and the geometry of the system.

Step2: Consider the relationship between weight and force in rope

As the weight of the crate increases, to balance the vertical - component of the forces acting on the point where the ropes meet, the tension in rope AC must increase. Since the angle of rope AC with the horizontal is determined by the geometry of the fixed - point C and the connection point, and assuming the geometry of the fixed parts of the system does not change, the angle remains the same.

Answer:

The magnitude increases and the angle stays the same.