Question

multiple select question select all that apply identify the steps to solve the problem when a particle is in equilibrium. more than one answer may be correct. draw a free - body diagram of the particle. resolve each force into rectangular components. set the resultant, or sum of the forces exerted on the particle, equal to unity. set the resultant, or sum of the forces exerted on the particle, equal to zero. need help? review these concept resources. read about the concept

Explanation:

1. Draw a free - body diagram of the particle: A free - body diagram is a fundamental first step in analyzing forces on a particle. It helps to visualize all the forces acting on the particle, which is essential for equilibrium problems.
2. Resolve each force into rectangular components: When dealing with forces in different directions, resolving them into x - and y - (or other rectangular) components allows us to use vector addition principles (like adding the x - components and y - components separately) to analyze the net force.
3. Set the resultant, or sum of the forces exerted on the particle, equal to zero: For a particle in equilibrium, the net force (resultant of all forces) acting on it must be zero. This is based on Newton's first law, which states that if an object is in equilibrium (either at rest or moving with a constant velocity), the net force on it is zero. The option "Set the resultant, or sum of the forces exerted on the particle, equal to unity" is incorrect because unity (1) has no physical meaning in the context of force equilibrium (the net force should be zero, not 1).

Answer:

• Draw a free - body diagram of the particle.
• Resolve each force into rectangular components.
• Set the resultant, or sum of the forces exerted on the particle, equal to zero.