WorksheetsMECH 223 – Diagnostic Test 01: Elements
Total questions: 100
Worksheet time: 50mins
Name
Class
Date
1.
Study of motion with reference to the force which causes the motion is:
a)
Statics
b)
Dynamics
c)
Kinetics
d)
Kinematics
2.
An impulse causes:
a)
The object’s momentum to change.
b)
The object’s momentum to decrease.
c)
The object’s momentum to increase.
d)
The object’s momentum to remain constant or be conserved.
3.
Momentum is a property related the object’s _____.
a)
Motion and mass
b)
Mass and acceleration
c)
Motion and velocity
d)
Weight and velocity
4.
Centrifugal force is _____.
a)
directly proportional to the radius of the curvature
b)
directly proportional to the square of the tangential velocity
c)
inversely proportional to the square of the tangential velocity
d)
directly proportional to the square of the weight of the object
5.
A measure of the resistance of a body it offers to any change in its angular velocity, determined by the mass and distribution of its mass about the axis of rotation is knows as:
a)
moment of inertia
b)
friction
c)
torsion
d)
angular acceleration
6.
Momentum is the product of mass and:
a)
acceleration
b)
velocity
c)
force
d)
time
7.
The moment of inertia of a plane figure _____.
a)
increases as distance of the axis moves farther from the centroid
b)
is maximum at the centroidal axis
c)
is zero at the centroidal axis
d)
decreases as the distance of the axis moves farther from the centroid
8.
The maximize the horizontal range of the projectile, which of the following applies?
a)
Maximize velocity
b)
Maximize the angle of elevation and velocity
c)
Maximize the angle of elevation
d)
The tangent function of the angle of trajectory must be equal to 1.
9.
Moment of inertia of any plane figure is expressed in units of length to the _____.
a)
first power
b)
second power
c)
third power
d)
fourth power
10.
A branch of physical science which deals with state of rest or motion of bodies under the action of forces.
a)
Mechanics
b)
Kinetics
c)
Kinematics
d)
Statics
11.
A branch of mechanics which deals with bodies at rest.
a)
Statics
b)
Dynamics
c)
Kinetics
d)
Kinematics
12.
Branch of mechanics which deals with bodies in motion.
a)
Statics
b)
Dynamics
c)
Kinetics
d)
Kinematics
13.
The action of a force is characterized by _____.
a)
its magnitude
b)
the direction of its action
c)
point of application
d)
all of the above
14.
For a system to be in equilibrium, _____.
a)
the force polygon must close.
b)
all forces must be concurrent, if not acting parallel
c)
it must satisfy the 3 static equations
d)
all of the above
15.
A pair of forces equal in magnitude, opposite in direction, and not in the same line is called:
a)
Moment
b)
Torque
c)
Couple
d)
All of the above
16.
The _____ exerted by a force on a body is the measure of its effectiveness in turning the body about a certain pivot.
a)
Couple
b)
Torque
c)
Moment arm
d)
All of the above
17.
A body is said to be “rotational equilibrium” when _____.
a)
no net torque acts on it
b)
no net force acts on it
c)
its vector sum of the forces is zero
d)
the force acting on the body are non-concurrent
18.
A couple consists of two forces, _____ in magnitude, parallel and oppositely directed.
a)
directly proportional
b)
equal
c)
unequal
d)
inversely proportional
19.
The _____ of the body or system is the point about with the product of the mass and moment arm sums up to zero.
a)
center of gravity
b)
center of mass
c)
centroid
d)
all of the above
20.
The point through which the resultant of the distributed gravity force passes regardless of the orientation of the body in space.
a)
Center of inertia
b)
Center of mass
c)
Centerpoint
d)
Center of gravity
21.
What is another term for centroid?
a)
Center of gravity
b)
Center of mass
c)
Barycenter
d)
All of the above
22.
If an object exerts a normal force on a surface, then its normal force is:
a)
equal to the weight of the object
b)
less than the frictional force
c)
parallel to the surface
d)
perpendicular to the surface
23.
Whenever the surfaces of two bodies are in contact, there will be a limiting amount of resistance to sliding between them. This is known as:
a)
Friction
b)
Coefficient of friction
c)
Angle of friction
d)
Coefficient of sliding
24.
The moment of inertia of a triangle with respect to the base b is:
a)
bh³/12
b)
bh³/6
c)
bh³/36
d)
bh³/3
25.
The moment of inertia of a triangle with respect to the base is _____ time its moment of inertia with respect to its centroidal axis?
a)
2
b)
3
c)
4
d)
5
26.
What is the moment of inertia of a circle of radius r?
a)
𝜋𝑟⁴/16
b)
𝜋𝑟⁴/2
c)
𝜋𝑟⁴/64
d)
𝜋𝑟⁴/4
27.
The moment of inertia of the circle with respect to its tangent is _____ times its centroidal moment of inertia.
a)
2
b)
3
c)
4
d)
5
28.
The moment of inertia of a rectangle with respect to the base is _____ times its moment of inertia with respect to the centroid.
a)
2
b)
3
c)
4
d)
5
29.
What is the moment of inertia of a sphere of mass m and radius r?
a)
1/2 mr²
b)
1/4 mr²
c)
1/3 mr²
d)
1/5 mr²
30.
Given the cylinder of radius r, altitude h and mass m. What is its mass moment of inertia?
a)
1/2 mr²
b)
1/4 mr²
c)
1/3 mr²
d)
1/5 mr²
31.
A structure is called _____ if at least one of its individual member is a multiforce member.
a)
truss
b)
frame
c)
three-hinged arch
d)
bridge
32.
Another term of moment of inertia.
a)
Moment of area
b)
Moment of mass
c)
Second moment of area
d)
All of the above
33.
The diagram of an isolated body with representation of all external forces acting on it is called _____.
a)
Maxwell diagram
b)
Stress-strain diagram
c)
Free body diagram
d)
Shear and moment diagram
34.
A framework composed of members joined at their ends to form a rigid structure.
a)
Machine
b)
Truss
c)
Joist
d)
Purlin
35.
The condition exist in structures where the reactive forces exceed the number of independent equations for equilibrium. Such case is called _____.
a)
Statically determine
b)
Statically indeterminate
c)
Static equilibrium
d)
None of the above
36.
Two lengths of a steel wire are used to support a chandelier of weight W. The tension in the wire must:
a)
each be w/2
b)
each be w
c)
have a vector sum of magnitude w
d)
have a vector sum of magnitude > w
37.
The built-in or fixed support is capable of supporting:
a)
an axial load
b)
a transverse load
c)
a bending moment
d)
all of the above
38.
Which of the following BEST describes d’Alembert’s principle?
a)
F = ma
b)
Stress is directly proportional to strain.
c)
First law of motion
d)
F = kx
39.
What is trajectory?
a)
The path of a projectile or other moving body through space.
b)
A curve that intersects all curves of a given family at the same angle.
c)
The path through phase space taken by a system.
d)
All of the above
40.
What term is used to pertain to the change in behavior of a system over time?
a)
Kinetics
b)
Kinematics
c)
Static
d)
Dynamics
41.
What refers to the slight nudge that, temporarily or permanently, displaces an object or system out of equilibrium?
a)
Unbalance nudge
b)
Perturbation
c)
Vibration
d)
Indeterminacy
42.
What refers to the condition of a system when it is easily disturbed by internal or external forces or events?
a)
Stability
b)
Instability
c)
Determinacy
d)
Indeterminacy
43.
When can we say a system is stable?
a)
When it will not return to its previous condition when disturbed
b)
When it will return to its previous condition when disturbed.
c)
When it will not follow Hooke’s law
d)
When it is not in equilibrium
44.
A set of points with the property that a given process or trajectory will take the same length of time to complete starting from any of the points is called _____.
a)
Isometry
b)
Isochrone
c)
Inverse
d)
Invariant
45.
The shape that a rope or telephone cable makes, under the influence of gravity when suspended between two points. What is this shape called?
a)
Catenary
b)
Parabolic cable
c)
Hyperbolic cable
d)
Catenoid
46.
The centroid is the center of mass of a given figure. This statement is:
a)
true
b)
false
c)
sometimes true
d)
irrelevant
47.
What do you call a trajectory, or a set of points in phase space, toward which nearby orbits converge, and which is stable?
a)
Retractor
b)
Attractor
c)
Balancer
d)
Stabilizer
48.
What is the acceleration of a body traveling in straight line with constant speed?
a)
Negative
b)
Positive
c)
Zero
d)
Infinite
49.
Which of the following is true about acceleration?
a)
An object traveling in straight line with constant speed has an acceleration of zero.
b)
An object traveling along a curve with constant speed has a variable acceleration.
c)
Acceleration is measured in m/s².
d)
All of the above
50.
The _____ of an object is the total distance traveled by the object divided by the total time taken.
a)
Absolute speed
b)
Relative speed
c)
Average speed
d)
Instantaneous speed
51.
The _____ of oscillating motion of an object is the largest displacement from the equilibrium position of that object.
a)
pendulum
b)
frequency
c)
amplitude
d)
all of the above
52.
For an ideal situation as the object moves, the displacement from equilibrium will form a trigonometric curve between certain limits. What do you call this motion?
a)
Pendulum motion
b)
Simple harmonic motion
c)
Sine wave motion
d)
Cosine wave motion
53.
What refers to a force whose direction is towards a fixed point and whose magnitude depends on the distance between the particle and that fixed point?
a)
Directional force
b)
Fixed force
c)
Central force
d)
Concentrated force
54.
In an object is traveling in a circle, the component of the resultant force acting on the body towards the center of the circle is called _____.
a)
centrifugal force
b)
centripetal force
c)
tangential force
d)
central force
55.
What force is necessary to maintain motion in a circular path?
a)
Centrifugal force
b)
Centripetal force
c)
Frictional force
d)
Resultant force
56.
What refers to the geometrical center of a surface or body?
a)
Center of gravity
b)
Centroid
c)
Center of mass
d)
All of the above
57.
When will the center of mass of a body coincides with the centroid of the body?
a)
When the body is not homogeneous
b)
When the body is on the surface of the earth
c)
When the body has a specific gravity less than 1
d)
When the mass of the body is distributed evenly
58.
What refers to a force for which no net work is done as the particle moves along every closed path from a point A to a point B and back to A?
a)
Tangential force
b)
Directional force
c)
Moving force
d)
Conservative force
59.
What type of force acts at very point throughout the volume of a body?
a)
Uniform force
b)
Contact force
c)
Body force
d)
Volume force
60.
Normal reaction and friction are examples of what type of force?
a)
Uniform force
b)
Contact force
c)
Body force
d)
Varying force
61.
What type of force occurs when two surfaces are in contact?
a)
Uniform force
b)
Contact force
c)
Restitution force
d)
Body force
62.
What refers to a force on an object for which work done by the force as the object between any two points A and B, depends only on the position of A and B and not on the path between A and B?
a)
Positional force
b)
Conservative force
c)
Directional force
d)
Moving force
63.
In connection with oscillation and vibration, what word is used to describe a decaying motion?
a)
Pendulum
b)
Damping
c)
Dying
d)
Retarding
64.
What measures the “bouncyness” or elasticity of a collision?
a)
Coefficient of restitution
b)
Elasticity
c)
Plasticity
d)
Ductility
65.
Coefficient of restitution is a measure of the:
a)
loss of potential energy in the collision
b)
loss of kinetic energy in the collision
c)
plasticity of the materials
d)
elasticity of the materials
66.
When the coefficient of restitution is exactly equal to one, then it is said to be perfect collision. Perfect collision means that _____.
a)
maximum energy is lost
b)
minimum energy is lost
c)
no energy is lost
d)
infinite amount of energy is lost
67.
When can we say that an object is in “dynamic equilibrium”?
a)
There is no such thing as a dynamic equilibrium
b)
When it is in motion and came to rest
c)
When it is at rest and remains at rest
d)
When it is moving with constant velocity
68.
For a static particle, the force of friction is just sufficient to stop motion. This is known as the law of friction, where F ≤ 𝜇ₛR, where 𝜇ₛ is the coefficient of static friction. Who formulated this equation?
a)
Ampere
b)
D’Alembert
c)
Coulomb
d)
Newton
69.
If 𝜇ₛ is the coefficient of static friction and 𝜇ₛ is the coefficient of dynamic friction, which of the following is true?
a)
𝜇ₛ = 𝜇d
b)
𝜇ₛ < 𝜇d
c)
𝜇ₛ > 𝜇d
d)
𝜇ₛ ≅ 𝜇d
70.
Who formulated the law of gravitation between two objects?
a)
Kepler
b)
Newton
c)
Copernicus
d)
Gauss
71.
What property of a body refers to its reluctance to undergo a linear acceleration?
a)
Weight
b)
Mass
c)
Inertia
d)
Elasticity
72.
What is the rate of change of displacement which acts along the tangent to the path or trajectory of a particle’s motion?
a)
Linear speed
b)
Linear velocity
c)
Tangential velocity
d)
Angular velocity
73.
Which of the following is true about linear momentum?
a)
It is conserved in collision.
b)
The total force acting on a particle equals the rate of change of momentum.
c)
It is a vector quantity in the same direction as the velocity factor.
d)
All of the above
74.
How much force is required to give an object of mass 1 kg an acceleration 1m/s²?
a)
Joule
b)
Watt
c)
Erg
d)
Newton
75.
For Newton’s laws of motion to apply, an object is modeled as a particle moving with speeds:
a)
Close to the speed of light
b)
Much smaller to the speed of light
c)
Bigger that the speed of light
d)
Equal to the speed of light
76.
What type of impact occurs on two bodies if one or both of the bodies has a velocity that is not common to common normal or lines of centers?
a)
Direct impact
b)
Indirect impact
c)
Oblique impact
d)
Eccentric impact
77.
What refers to a model for an object with a shape that cannot be deformed, so that the distance between any two points within the body remains constant, no matter what forces are applied?
a)
Homogeneous body
b)
Uniform body
c)
Rigid body
d)
All of the above
78.
An object with its mass distributed evenly throughout its volume is called:
a)
rigid body
b)
particle
c)
uniform body
d)
all of the above
79.
When the motion of an object near to the Earth’s surface is opposed by resistive forces (such as air resistance) which depend on the velocity of the object, the force of gravity and the resistive forces can come into balance. The velocity when this occurs is called _____.
a)
maximum velocity
b)
ultimate velocity
c)
instantaneous velocity
d)
terminal velocity
80.
What is described as a “pushing force”?
a)
Tension
b)
compression
c)
Torsion
d)
Thrust
81.
In oscillation, what refers to the time taken for the system to complete one cycle of its motion?
a)
Frequency
b)
Period
c)
Pass
d)
Pendulum
82.
Which of the following is true about the moment of a force?
a)
It is vector quantity.
b)
It is the turning effect of a force.
c)
Its value is dependent on the magnitude of the force and where it is applied.
d)
All of the above
83.
What is a pair of forces which are equal in magnitude, opposite in direction and do not act through the same point?
a)
Moment
b)
Couple
c)
Torsion
d)
All of the above
84.
The _____ of a machine equals the ration between its actual and its theoretical mechanical advantage.
a)
Output
b)
Input
c)
Efficiency
d)
Power
85.
Actual mechanical advantage is the ration between:
a)
output force to input force
b)
input distance to output distance
c)
output work to input work
d)
power output to power input
86.
Whenever a net force acts on a body, it produces an acceleration in the direction of the resultant force, an acceleration which is directly proportional to the resultant force and inversely proportional to the mass of the body. This theory is popularly known as:
a)
Newton’s First Law of Motion
b)
Faraday’s Law of Force
c)
Newton’s Second Law of Motion
d)
Hooke’s Law
87.
“For every action, there is always an equal and opposite reaction”. This is known as:
a)
Newton’s first law
b)
Newton’s second law
c)
Newton’s third law
d)
Law of inertia
88.
“Everybody continues in its state of rest or at constant speed in a straight line motion, it is compelled to change that state because of forces acting on it”. This is known as:
a)
Newton’s first law of motion
b)
Newton’s second law of motion
c)
Newton’s third law of motion
d)
Kepler’s Law
89.
“An unbalanced force acting on an object will cause the object to accelerate will cause the object to accelerate in the direction of the force”. This is known as:
a)
Newton’s first law of motion
b)
Newton’s second law of motion
c)
Newton’s third law of motion
d)
Kepler’s Law
90.
Newton’s second law of motion states that the rate of change of momentum with respect to time is:
a)
Force
b)
Energy
c)
Power
d)
Work
91.
The range of a projectile depends on:
a)
Initial velocity only
b)
Initial velocity and weight of body
c)
Initial velocity and angle of projection
d)
Initial velocity, weight of body and angle of projection
92.
In a trajectory, air resistance decreases:
a)
the speed
b)
the maximum height
c)
the range of projectile
d)
all of the above
93.
In the absence of air resistance a projectile sent off at an angle of θ above the horizontal with an initial velocity of V has a horizontal range of:
a)
R = V²/2g sin 2θ
b)
R = 2V sinθ/g
c)
R = V/g sin2θ
d)
R = V²sin² θ/g
94.
In the preceding question, the time of flight is:
a)
t = V²/2g sin 2θ
b)
t = V²sin²θ/g
c)
t = V²/g sin2θ
d)
t = 2Vsinθ/g
95.
The trajectory of a projectile is a graph of:
a)
circle
b)
parabola
c)
ellipse
d)
hyperbola
96.
If an object is thrown vertically upward, its acceleration _____.
a)
is smaller than that of the object thrown vertically downward
b)
is equal to that of an object thrown vertically downward
c)
greater than that of the object thrown vertically downward
d)
zero until the object reaches maximum point
97.
The acceleration is _____ the resultant force on the object.
a)
directly proportional to
b)
inversely proportional to
c)
directly proportional to the square of
d)
inversely proportional to the square of
98.
The acceleration is _____ the mass of the object.
a)
directly proportional to
b)
inversely proportional to
c)
directly proportional to the square of
d)
inversely proportional to the square of
99.
Refers to the vertical speed at which the force of air resistance is just sufficient to balance the body’s weight.
a)
Gravitational acceleration
b)
Terminal speed
c)
Drag
d)
Lift
100.
Objects falling in air from the same height will not reach the ground at the same time because:
a)
air resistance increases with velocity
b)
falling body will eventually reaches terminal velocity
c)
if it reaches terminal velocity, it cannot fall any faster than that
d)
all of the above
100 %
