A particle moving with velocity $\vec{v}$ is acted by three forces shown by the vector triangle $PQR$. The vel

Question

A particle moving with velocity $\vec{v}$ is acted by three forces shown by the vector triangle $PQR$. The velocity of the particle will:

Accepted Answer

1. **Equilibrium Condition:** The problem states that the three forces acting on the particle are represented by the sides of a vector triangle $PQR$. According to the triangle law of vector addition, if three vectors represented by the sides of a triangle are taken in the same order, their resultant (vector sum) is zero [NCERT Class 11, Physics Part I, Chapter 4, Section 4.8].
2. **Net Force:** Consequently, the net external force acting on the particle is zero ($\vec{F}_{net} = 0$).
3. **Newton's First Law:** According to Newton's First Law of Motion, if the net external force on a body is zero, its acceleration is zero, and it continues to move with a constant velocity [NCERT Class 11, Physics Part I, Chapter 4, Section 4.5]. Therefore, the velocity of the particle remains constant.

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