A particle moving with velocity $\vec{v}$ is acted upon by three forces which form a closed polygon

Question

A particle moving with velocity $\vec{v}$ is acted upon by three forces which form a closed polygon when taken in order. The velocity of the particle will

Professor PC Thomas Classes · Answer

When forces form a closed polygon taken in order, their vector sum is zero ($\Sigma \vec{F} = 0$). Thus, net force is zero, meaning acceleration is zero. The velocity of the particle will remain constant.