A single force which produces the same effect as a set of forces acting together at a point is known as the

Analysis

The question asks for the definition of a specific term in mechanics that describes a single force capable of replacing a group of forces while producing the exact same physical effect (acceleration or state of motion) on a body.

Concept Explanation

In physics, when several forces act on an object simultaneously, they can be combined into one single force.

• Resultant Force: This is the vector sum of all the individual forces acting on a body. It represents the "net" effect of those forces. If you replace all the individual forces with this single resultant force, the object will behave in exactly the same way.
• Equilibrant Force: This is a force equal in magnitude to the resultant force but acting in the opposite direction. Its purpose is to bring the system into equilibrium (i.e., to make the net force zero).
• Component: These are the individual parts into which a single force can be broken down (usually along the x and y axes).

Step-by-Step Solution

1. Identify the goal: We are looking for a term that represents the "combined effect" of multiple forces.
2. Evaluate the options: • A (Component): This is the reverse of our goal; it is a part of a force, not the whole. • B (Equilibrant): This force cancels out the effect of other forces; it does not produce the same effect as them. • C (Resultant): By definition, the resultant is the single force that represents the combined vector sum of all forces acting on a point. • D (Resistant): This is not a standard term used in this context in mechanics.
3. Conclusion: The resultant force is the single force that produces the same effect as the set of forces acting together.

Final Answer

The correct option is C.

Exam Tip

Think of the Resultant as the "Result" of adding all forces together, and the Equilibrant as the "Equalizer" that brings everything to a stop (equilibrium). Don't mix them up!