Free Practice Quiz Question List

2 Forces and Particle Equilibrium Online Quiz Questions

Use this free practice quiz with 20 questions to review 2 Forces and Particle Equilibrium, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

Which two properties characterize a force as a vector?

A
A magnitude and a direction
B
A magnitude only
C
A direction only

Choose one

1 point

What condition defines equilibrium for a particle?

A
Its forces all have the same magnitude
B
The vector sum of its forces is zero
C
It has no forces acting on it

Choose one

1 point

A force is represented by $\mathbf F=(-8\mathbf i+6\mathbf j)\,\mathrm N$ . In which quadrant does it point?

A
Quadrant I
B
Quadrant III
C
Quadrant II
D
Quadrant IV

Choose one

1 point

A $20\,\mathrm N$ force points down and to the right, making an angle of $30^\circ$ with the downward vertical. Which pair gives its signed Cartesian components?

A
$F_x=10.0\,\mathrm N,\quad F_y=-17.3\,\mathrm N$
B
$F_x=17.3\,\mathrm N,\quad F_y=-10.0\,\mathrm N$
C
$F_x=-10.0\,\mathrm N,\quad F_y=-17.3\,\mathrm N$
D
$F_x=10.0\,\mathrm N,\quad F_y=17.3\,\mathrm N$

Choose all

1 point

A small ring is the particle being isolated in a free-body diagram. A cable pulls it, gravity acts on it, and a hand pushes it. Select all forces that belong on the ring’s free-body diagram.

A
The pull exerted on the ring by a cable
B
The weight acting on the ring
C
The push exerted on the ring by a hand
D
The force the ring exerts on the cable

Choose all

1 point

Select all statements that are correct about concurrent forces and particle equilibrium.

A
For particle equilibrium in three dimensions, $\sum F_x=0$ , $\sum F_y=0$ , and $\sum F_z=0$ .
B
Forces are concurrent when their lines of action pass through one common point.
C
A zero resultant requires the component sum along every coordinate axis to be zero.
D
In three dimensions, a particle is in equilibrium whenever $\sum F_x=0$ and $\sum F_y=0$ , even if $\sum F_z\ne 0$ .

True or false

1 point

When solving for an unknown force, a negative component relative to the assumed direction indicates that the actual component points in the opposite direction.

A
True
B
False

True or false

1 point

For an extended rigid body, satisfying force balance alone is always sufficient to establish equilibrium.

A
True
B
False

Written response

1 point

A force has components $F_x=9\,\mathrm N$ and $F_y=-12\,\mathrm N$ . What is its magnitude?

Written response

1 point

What term describes a force system in which all the forces’ lines of action pass through one common point?

Fill in the blank

1 point

A $100\,\mathrm N$ force acts $30^\circ$ above the positive x-axis. Its horizontal component is $\,\mathrm N$ , and its vertical component is $\,\mathrm N$ .

Fill in the blank

1 point

A particle has one known force $\mathbf F=(12\mathbf i+5\mathbf j)\,\mathrm N$ . For the particle to be in equilibrium, a second force must have x-component $\,\mathrm N$ and y-component $\,\mathrm N$ .

Open ended

1 point

A small ring is acted on by a horizontal cable pull of $18\,\mathrm N$ to the right, its weight of $20\,\mathrm N$ downward, and a second cable tension $T$ directed up and to the left at $45^\circ$ above the negative x-axis. Draw or describe the free-body diagram, write the two component-sum equations, and use them to determine whether the ring can be in equilibrium. If it cannot, state the resultant force.

True or false

1 point

True or false: The perpendicular components of a force add vectorially to represent the original force; they are not separate additional forces.

A
True
B
False

Choose one

1 point

When drawing a free-body diagram for an isolated particle, which set of forces should be shown?

A
Include every force exerted by the particle on its surroundings, but omit forces acting on it.
B
Include every external force acting on the particle, and omit forces the particle exerts on other objects.
C
Include only forces that point horizontally or vertically.
D
Include forces acting on nearby objects, even if they do not act on the particle.

Written response

1 point

What term describes a force system in which the lines of action of all forces pass through one common point?

Choose one

1 point

A two-dimensional force has components $F_x=-12\text{ N}$ and $F_y=5\text{ N}$ . In which quadrant does it point?

A
Quadrant I
B
Quadrant III
C
Quadrant II
D
Quadrant IV

Written response

1 point

A force is $\mathbf F=(-6\mathbf i+8\mathbf j)\text{ N}$ . What is its magnitude in N, to the nearest $0.1\text{ N}$ ?

Choose one

1 point

In an equilibrium calculation, you assume an unknown force points in the positive $x$ -direction and solve for its component as $-18\text{ N}$ . What does this result mean?

A
The force has magnitude $18\text{ N}$ and points opposite the assumed direction.
B
The force has magnitude $18\text{ N}$ and points in the assumed direction.
C
The force has magnitude $-18\text{ N}$ and points in the assumed direction.
D
The force must be zero because the solution is negative.

Choose one

1 point

Two concurrent forces act on a particle: $40\text{ N}$ to the right and $30\text{ N}$ upward. What are the magnitude and direction of their resultant, measured counterclockwise from the positive $x$ -axis?

A
$50\text{ N}$ , $36.9^\circ$ below the positive $x$ -axis
B
$50\text{ N}$ , $36.9^\circ$ above the positive $x$ -axis
C
$70\text{ N}$ , $90^\circ$ above the positive $x$ -axis
D
$10\text{ N}$ , $53.1^\circ$ above the positive $x$ -axis