Equilibrium of a Particle

Two rods $X$ and $Y$ are attached to a weight of mass $M$ as shown in figure, then:

If resultant of these three forces is along $Y$-axis, then $F_3$ is equal to:

A force $F$ making an angle of $60°$ with positive $x$-axis has a component of $20 \mathrm{N}$ along $x$-axis. Write the force in vector form

A $4.0 \mathrm{kg}$ box slides down a vertical wall with constant speed while a person pushes it up at an angle of $45°$ with the vertical. If the coefficient of friction between the block and the wall is $0.41$ then the magnitude of the force applied by the person is close to

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be :-

A man of mass $50 \mathrm{kg}$ stands on a frame of mass $30 \mathrm{kg}$. He pulls on a light rope which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium what force man must exert on the rope?

A body of mass $2 \mathrm{kg}$ is acted upon by two perpendicular forces $4 \mathrm{N}$ and $3 \mathrm{N}.$ The magnitude and direction of the acceleration of the body respectively are:

A force is inclined at $60°$ to the horizontal. If its component in the horizontal direction is $50 \mathrm{N},$ then magnitude of the vertical component of force is approximately:

The forces, which meet at one point but their lines of action do not lie in one plane, are called:-

Three forces are acting on a body in equilibrium at the same time. Two of them are given as ${\overrightarrow{\mathrm{F}}}_1=2\hat{\mathrm{i}}-5\hat{\mathrm{j}}\text{,} {\overrightarrow{\mathrm{F}}}_2=3\hat{\mathrm{i}}-4\hat{\mathrm{j}}$. Find the third force ${\overrightarrow{\mathrm{F}}}_3$.

Three force $1 \mathrm{N}$ , $2 \mathrm{N}$ and $3 \mathrm{N}$ acting along different directions on a body in the same plane and at the same time.

Three forces are applied on a body and body is in eqilibrium .It is infered about sum of any two forces together that it

In the figure shown below, the tension in the string is

A metal sphere is hung by a string fixed to a wall. The forces acting on the sphere are shown in figure. Which of the following statements is/are correct?



a. $\overrightarrow{N}+\overrightarrow{T}+\overrightarrow{W}=0$

b. $T^2=N^2+W^2$

c. $T=N+W$

d. $N=W\tan \theta$

How many minimum numbers of a coplanar vector having different magnitudes can be added to give zero resultant 

There are four force acting at a point $P$ produced by strings as shown in figure, which is at rest. The force $F_1$ and $F_2$ are

A mass $M$ is hung with a light inextensible string as shown in the figure. Find the tension of the horizontal string.

Three process 5N, 12N and 13N acting simultaneously on a body are in equilibrium then angle between 5N and 13N will be

The sum of the magnitudes of two forces acting at a point is 16N. The resultant of these forces is perpendicular to the smaller force which has a magnitude of 8N. If the smaller force is magnitude $x,$ then the value of $x$ is

Sum of magnitude of two forces is $25 \mathrm{N}$. The resultant of these forces is normal to the smaller force and has a magnitude of $10 \mathrm{N}$. Then the force are,