Equilibrium of a Particle

A block of mass $m$ is placed on a smooth wedge of inclination $\theta$. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($g$ is acceleration due to gravity) will be

Two cubes of masses  $m_1$ and  $m_2$ be on two frictionless slopes of block A which rests on a horizontal table. The cubes are connected by a string which passes over a pulley as shown in the figure. To what horizontal acceleration f should the whole system (that is the blocks and cubes) be subjected so that the cubes do not slide down the planes? What is the tension of the string in this situation?

Three forces $F_1=10 \mathrm{N}, F_2=8 \mathrm{N}, F_3=6 \mathrm{N}$ are acting on a particle of mass $5 \mathrm{kg}$. The forces $F_2$ and $F_3$ are applied perpendicularly so that particle remains at rest. If the force $F_1$ is removed, then the acceleration of the particle is

Reading in the spring shown below will be 

A box is pulled with force of $200 \mathrm{N}$ at angle of $60°$ above the horizontal. Then the horizontal and vertical components of the force are

Find the magnitude of the unknown forces $X$ and $Y$ if sum of all forces is zero.

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

What is equilibrium force in physics? Elaborate with an example the equilibrium of force?

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

Give an example of a body in equilibrium but not at rest.

Can a body be in equilibrium, if it is in motion? Explain.

What are the conditions for two colinear forces to be in equilibrium?

Can a body be in equilibrium, even if only one external force acts on it? Explain. 

Will a car be in equilibrium while taking a U-turn?

Define concurrent forces.

What are the concurrent forces?

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

Explain the equilibrium of forces.

An object is in equilibrium when four concurrent forces, acting in the same plane, are in the directions shown in the figure. Find the magnitudes of $F_1$ and $F_2$.