Three non-collinear forces acting on a particle keep it in equilibrium
PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics
Problem
Three non-collinear forces acting on a particle keep it in equilibrium.
(i) State the mathematical conditions that must be satisfied for a particle to remain in equilibrium under the action of coplanar concurrent forces.
(ii) Explain, with the aid of a labelled vector diagram, how these conditions lead to the conclusion that the three forces can be represented in magnitude and direction by the sides of a closed triangle taken in order.
(iii) Using your reasoning in (ii), justify why two unequal forces alone cannot hold a particle in equilibrium.