The force vectors F₁ = and F₂ = are acting on a common point P. Find an additional force vector so that equilibrium takes place.

Question

Quizplus · Accepted Answer

To achieve equilibrium, the vector sum of all forces acting on the point should equal to zero. Therefore, we need to find a force vector that is equal in magnitude and opposite in direction to the vector sum of F₁ and F₂. Adding the two given vectors using vector addition, we get: F₁ + F₂ = 11ea7f29_5005_de80_9ecd_38e36cd832a6_TB3307_11 To find the force vector that completes the equilibrium, we need to find a vector equal in magnitude but opposite in direction to this sum vector. Negating both sides of the sum vector, we get: -(F₁ + F₂) = -11ea7f29_5005_de80_9ecd_38e36cd832a6_TB3307_11 Simplifying, we get: - (F₁ + F₂) = 11ea7f26_af6a_216c_6032_c46193d7cd5f_C138D9_11 This is the required force vector for equilibrium. Among the given options, the only vector equal in magnitude to this and opposite in direction is option B (11ea7f29_5006_0592_9ecd_b97aa0597965_TB3307_11).

The Force Vectors F1 = and F2 =

The Force Vectors F₁ = and F₂ =