A particle is in equilibrium under the action of three forces $\vec{P}$, $\vec{Q}$, and $\vec{R}$. If the angle between $\vec{P}$ and $\vec{Q}$ is doubled and the magnitude of $\vec{Q}$ is halved, while the other forces remain unchanged, which statement is true for the new equilibrium condition?

The resultant of two forces acting at an angle of $120^\circ$ is 10 kg-wt and is perpendicular to one of the forces. That force is

The velocity of a body at time t=0 is $10\sqrt 2 \;m/s$ in the north-east direction and it is moving with an acceleration of $2\;m/{s^2}$ directed towards the south. The magnitude and direction of the velocity of the body after 5 sec will be

Two forces of magnitudes 3 N and 4 N act at a point at right angles to each other. A third force F is applied at the same point such that the system is in equilibrium. The magnitude and direction of F relative to the 3 N force are:

Two forces of 3 N and 4 N act on a point at right angles to each other. According to the triangle law of vector addition, what is the magnitude of their resultant?

Rain drops are falling vertically downward at $4\,\,kmph$. For a person moving forward at $3\,\,kmph$ feels the rain falling at

Given, ${\rm{\vec P}} = {\rm{\vec A}} + {\rm{\vec B}}\,\,{\rm{and}}\,P = A + B.$ The angle between ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ is

If three forces acting at a point are in equilibrium, and the angle between the first two forces is 120°, and the angle between the second and third forces is 150°. If the magnitude of the first force is $F_1$, what is the magnitude of the third force ($F_3$) in terms of $F_1$?

If three forces acting at a point are in equilibrium, which theorem can be used to determine the relationship between the forces?

A particle is in equilibrium under the action of three forces $\vec{P}$, $\vec{Q}$, and $\vec{R}$. If the angle between $\vec{P}$ and $\vec{Q}$ is doubled and the magnitude of $\vec{Q}$ is halved, while the other forces remain unchanged, which statement is true for the new equilibrium condition?

Two forces $\overrightarrow {{{\rm{F}}_1}} \;\,and\,\overrightarrow {{{\rm{F}}_2}}$ are acting at right angles to each other. Then their resultant is