The image contains a physics-based problem requiring multiple parts to be solved or drawn. The steps involve analyzing a box in a specific situation (some information is redacted), and the problem requires the following:

1. Draw a System Schema and Force Diagram for the box - This involves visually representing all the forces acting on the box, including gravitational, normal, frictional, and any applied forces.

2. Determine the Minimum Force Needed to Keep the Box at Rest - This step involves calculating the force necessary to counteract any other forces acting on the box to ensure it remains in equilibrium.

3. Analyze the Effect of Frictionlessness - If friction is removed, the problem likely asks about changes to the forces required or the box's motion, depending on the scenario.

Steps to Solve:

1. Draw a System Schema and Force Diagram:

   • Identify all forces acting on the box, such as:
     • Gravitational force ($F_g = m \cdot g$)
     • Normal force ($F_n$), typically acting perpendicular to the surface
     • Frictional force ($F_f = \mu \cdot F_n$, if friction exists)
     • Applied force ($F_a$, if specified)
   • Represent these forces on a force diagram with vectors indicating magnitude and direction.

2. Calculate the Minimum Force to Keep the Box at Rest:

   • Use equilibrium conditions: $\sum F_x = 0$ and $\sum F_y = 0$.
   • If the box is on an inclined plane, consider forces parallel and perpendicular to the surface:
     • Parallel: $F_{\text{parallel}} = m \cdot g \cdot \sin\theta$
     • Perpendicular: $F_{\text{perpendicular}} = m \cdot g \cdot \cos\theta$
   • Calculate the force needed to counteract the net parallel force.

3. Effect of Frictionlessness:

   • Without friction, the only opposing force to motion may be from an applied force or none if gravity dominates.
   • Analyze using $F = m \cdot a$ for the net acceleration.

If you provide more details about the specific scenario (e.g., mass, surface type, or inclination), I can assist with precise calculations and illustrations.

Would you like me to proceed with assumptions, generate diagrams, or elaborate further? Here are five related questions for clarity:

1. Is the box on a flat surface, incline, or suspended in some way?
2. What forces are acting on the box (e.g., applied force, gravity, friction)?
3. Do you have any coefficients of friction or the angle of inclination for the surface?
4. Should I include formulas for dynamic motion if friction is removed?
5. Do you need a detailed explanation of how to construct force diagrams?

Tip: In physics problems, always start by listing known values and drawing free-body diagrams for clarity before jumping into calculations.