Three forces starts acting simultaneously on a particle...

Three forces starts acting simultaneously on a particle moving with velocity $\vec{v}$. These forces are represented in magnitude and direction by the three sides of a triangle $A B C$ (as shown). The particle will now move with velocity (a) $\vec{v}$ remaining unchanged (b) Less than $\vec{v}$ (c) Greater than $\vec{v}$ (d) $\vec{v}$ in the direction of the largest force $B C$

Three forces starts acting simultaneously on a particle moving with velocity $\vec{v}$. These forces are represented in magnitude and direction by the three sides of a triangle $A B C$ (as shown). The particle will now move with velocity
(a) $\vec{v}$ remaining unchanged
(b) Less than $\vec{v}$
(c) Greater than $\vec{v}$
(d) $\vec{v}$ in the direction of the largest force $B C$

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Key Concepts

Closed Polygon of Forces

This is a graphical method used to represent a set of concurrent forces where the vectors are arranged head-to-tail to form a closed loop. When the vectors form a closed polygon, it indicates that the forces balance out, resulting in a net force of zero on the object.

Newton's First Law of Motion

Also known as the law of inertia, this principle states that an object in motion will remain in uniform motion unless acted upon by a net external force. In cases where the net force is zero, such as when forces are in equilibrium, the velocity of the object remains unchanged.

Vector Addition

This concept involves summing multiple vectors to determine a resultant vector. In the context of forces, when several force vectors are added together, their combined effect is equivalent to a single resultant force. The geometric method of representing forces as sides of a polygon illustrates that if they form a closed shape, the vector sum is zero.

Force Equilibrium

Force equilibrium occurs when all the forces acting on an object cancel each other out, leading to a net force of zero. Under equilibrium, according to Newton's laws, there is no change in the motion of the object, meaning it will continue moving with a constant velocity.

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