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Worksheets#2 Engineering Mechanics
Total questions: 68
Worksheet time: 37mins
What is the branch of engineering mechanics which refers to the study of stationary rigid body?
Kinematics
Kinetics
Statics
Dynamics
What is the branch of engineering mechanics which refers to the study of rigid body in motion under the action of forces?
Statics
Strenght of materials
Dynamics
Kinematics
What is the branch of engineering mechanics which refers to the study of rigid body in motion without reference to the force that causes the motion
Statics
Kinetics
Kinematics
Dynamics
What refers to the force that holds part of the rigid body together?
Natural force
External force
Internal force
Concentrated force
What refers to a pair of equal, opposite and parallel forces?
Couple
Moment
Torque
All of the above
What is a concurrent force system?
All forces act at the same point
All forces have the same line of action
All forces are parallel with one another
All forces are are in the same place
When will a three-force member be considered in equilibrium?
When the sum of the two forces is equal to the third force
When they are concurrent or parallel
When they are coplanar
All of the above
A roller support has how many reactions?
1
None
2
3
A link or cable support has how many reactions?
None
1
2
3
A build-in, fixed support has how many reactions and moment?
One reaction and one moment
Two reactions and one moment
One reaction and two moments
Two reactions and no moment
Which support has one moment?
Frictionless guide
Fixed support
Roller
Pin connection
What is the science that describes and predicts the effect on bodies at rest or in motion by forces acting on it?
Engineering mechanics
Theory of structures
Strength of materials
Mechanics of materials
What refers to a negligible body when compared to the distances involved regarding its motion?
Particle
Atomic substance
Element
Quarks
The resulting force of a distributed load is always acting at:
The center of the beam subjected to the distributed load
The centroid of the area of the loading curve
The 1/3 point from the higher intensity side of the loading curve
The two third point from the higher intensity side of the loading curve
The resultant force of a distributed load is always equal to:
Twice the area under the loading curve
Half the area under the loading curve
The area under the loading curve
1/4 the area under the loading curve
When a body has more support that are necessary to maintain equilibrium, the body is said to be _____.
In static equilibrium
In dynamic equilibrium
Statically determine
Statically indeterminate
When does an equation be considered "dimensionally homogeneous"?
When it is unitless
When the dimensions of the various terms on the left side of the equation is not the same as the dimensions of the various terms on the right side
When the degree of the left side of the equation is the same as the right side
When the dimensions of various terms on the left side of the equation is the same as the dimensions of the various terms on the right side
What refers to the branch of mathematics which deals with the dimensions of quantities?
Unit analysis
Dimensional analysis
System analysis
Homogeneity analysis
What is a "simple beam"?
A beam supported only at its end
A beam supported with a fake support at one end and none on the other end
A beam with more than two supports
A beam with only one support at the midspan
What assumption is used in the analysis of uniform flexible cable?
Cable is flexible
Cable is inextensible
The weight of the cable is very small when compared to the load supported by the cable
All of the above
"The sum of individual moments about a point caused by multiple concurrent forces is equal to the moment of the resultant force about the same point".This statement is known as____.
Pappus proposition
D'Alembert's principle
Varignon's theorem
Newton's method
"Two forces acting on a particle may be replaced by a single force called resultant which can be obtained by drawing diagonal of parallelogram, which has the sides equal to the given forces". This statement is known as ____.
Pappus Propositions
Principle of Transmissibility
Parallelogram Law
Varignon's Theorem
"The condition of equilibrium or motion of a rigid body remains unchanged if a force acting at a given point of the rigid body is replaced by a force of a same magnitude and direction, but acting at a different point provided that the two forces have the same line of action this statement is known as____.
Pappus Propositions
Principle of Transmissibility
Parallelogram Law
Varignon's Theorem
"If two forces acting simultaneously on a particle can be represented by the two sides of a triangle taken in order that the third side represents the resultant in the opposite order". This statement is known as ____.
Principle of Transmissibility
Parallelogram Law
Varignon's Theorem
Triangle Law of Forces
"If a number of concurrent forces acting simultaneously on a particle, are represented in magnitude and direction by the sides of polygons taken in order, then the resulted of this system of forces is represented by the closing side of the polygon in the opposite in the opposite order". This statement is known as_____.
Principle of Transmissibility
Parallelogram Law
Polygon Law
Triangle Law of Forces
A beam with more than one supports is called_____.
Cantilever beam
Simple beam
Complex beam
Continuous beam
A truss consisting of coplanar members is called ____.
Plane truss
Space truss
Ideal truss
Rigid truss
A trust consisting of non coplanar members is called____.
Plane truss
Space truss
Ideal truss
Rigid truss
What method of determining the bar force of a truss if only few members are required?
Methods of joints
Method of section
Maxwell's diagram
Method of superposition
Which of the following statements about friction is FALSE?
The direction of frictional force on a surface is such as to oppose the tendency of one surface to slide relative to the other
The total frictional force is dependent on the area of contact between the two surfaces
The magnitude of the frictional force is equal to the force which tends to move the body till the limiting value is reached
Friction force is always less than the force required to prevent motion
In the analysis of friction, the angle between the normal force and the resultant force _____ the angle of friction.
Maybe greater than or less than
Is greater than
Is less than
Is equal to
When a block is place on an inclined plane, it's steepest inclination to which the block will be in equilibrium is called _____.
Angle of friction
Angle of reaction
Angle of normal
Angle of repose
What is usually used to move heavy loads by applying a force which is usually smaller than the weight of the load?
Axle
Incline plane
wedge
Belt
The angle of inclined plane of a jack screw is also known as ____.
Angle of thread
Angle of lead
Angle of friction
Angle of pitch
Center of gravity for two-dimensional body is the point at which the entire _____ acts regardless of the orientation of the body.
Mass
Weight
Mass of weight
Volume
Second moment of area is the product of:
Area and square of the distance from the reference axis
Area and square of the distance from the reference axis
Area and distance from the reference axis
Square of the area and square of the distance from the reference axis
Moment of inertia of an area about an axis is equal to the sum of the moment of inertia about an axis passing through the centroid parallel to the given axis and _____.
Area and square of the distance between two parallel axes
Area and distance between two parallel axis
Square of the area and distance between two parallel axis
Square of the area and square of the distance between two parallel axis
What is the unit of mass moment of inertia?
kg-m4
kg-m3
kg-m
kg-m2
The number of independent degrees of freedom is:
Square root of the square of the difference of total degrees of freedom-number of constrain equations
Square root of the total degrees of freedom-number of constrain equations
Total degrees of freedom-number of constrain equations
Total degrees of freedom half the number of constrain equations
What velocity is normally referred to as the derivative of position vector with respect to time?
Decreasing velocity
Average velocity
Instantaneous velocity
Increasing velocity
What refers to a force by which work done on a particle as it moves around any closed path is zero?
Natural force
Virtual force
Conservative force
Non-conservative force
When a force causes a change in mechanical energy when it moves around a closed path, it is said to be ______ force
Natural
Virtual
Conservative
Non-conservative
The following are quantities that describe motion and uses newton's law of motion and d'alembert's principle except one. Which one?
Time
Mass
Acceleration
Force
Which of the following set of quantities that describe motion and uses the principle of work and energy?
Force, mass, velocity, time
Force, mass, acceleration
Force, mass, distance, velocity
Force, weight, distance, time
Which of the following set of quantities that describe motion and uses the principle of impulse and momentum?
Force, mass, velocity, time
Force, mass, distance, velocity
Force, mass, distance, velocity
Force, weight, distance, time
The principles of kinetics of particles are derived from which law?
Newton's first law
Newton's second law
Newton's third law
D'alembert's principle
What type of impact is when the motion of one or both of the colliding bodies is not directed along the line impact?
Central impact
Eccentric impact
Direct impact
Oblique impact
What type of impact is when the centers of mass of colliding bodies are not located on the line of impact?
Central impact
Eccentric impact
Direct impact
Oblique impact
If the coefficient of restitution is zero, the impact is _____.
Partially plastic
Perfectly inelastic
Perfectly elastic
Partially elastic
A uniform circular motion can be considered as a combination of_____.
Linear velocity and impulse
simple harmonic motion and momentum
Two simple harmonic motion
Rectilinear translation and curvilinear translation
If the mass of a simple pendulum is doubled but its length remains constant, its period is multiplied by a factor of
0.5
0.707
1
2
A railroad flatcar of mass 2000 kg rolls to the right at 10 m per second and collides with a flat car of mass 3000 kg that is rolling to the left at 5 m per second. the flat cars couple together. Their speed after the collision is
1m/s
2.5 m/s
5m/s
7m/s
A body moving in the positive x direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a constant speed of 24 m per second. At t = 1 second, the body is given a constant acceleration of 6 m per second squared in the negative x direction. The position of x of the body at t = 11 seconds is
+99 m
+36 m
-36 m
-75 m
A person weighing 800 newton's on earth travels to another planet with twice the mass and twice the radius of Earth. The person's weight on this other planet is most nearly
400 newton
566 newton
800 newton
1131 newton
A boy is standing on an elevator which is traveling downward with a constant of 30 m/s. The boy throws a ball vertically upward with a velocity of 10 m/s relative to the elevator. What is the velocity of the ball, magnitude and direction, relative to the elevator shaft the instant the boy releases the ball?
20 m/s, down
20 m/s, up
40 m/s, down
40 m/s, up
A boy throws a ball vertically upward with a velocity of 6 m/s. How long does it take the ball to return to the boys hand?
9.78 s
4.89 s
2.44 s
1.22 s
A toy train moves in a circle of 8 m radius with a speed of 4 m/s. What is the magnitude of the acceleration of the train?
2 m/s^2
4 m/s^2
6 m/s^2
8 m/s^2
A certain machine exerts a force of 200 newtons on a box whose mass is 30 kg. The machine moves the box a distance of 20 m along a horizontal floor. What amount of work does the machine do on the box?
2000 J
4000 J
6000 J
8000 J
A person pushes a box across a horizontal surface at a constant speed of 0.5 m per second. The box has a mass of 40 kg, and the coefficient of sliding friction is 0.25. The power supplied to the box by the person is
0.2 W
50 W
5 W
100 W
A box is initially at rest on a horizontal, frictionless table. If a force of 10 Newtons acts on the box for 3 seconds, what is the momentum of the box at the end of the 3 second interval?
10 kg m/s
20 kg m/s
30 kg m/s
40 kg m/s
A block of metal which weighs 60 Newtons in air and 40 Newtons under water has a density, in kg per meter cubed of:
1000
3000
5000
7000
A 10 kg body initially moving with a velocity of 10 m per second makes a head-on collision with a 15 kg body initially at rest. The two objects stick together. What is the velocity of the combined system just after the collision?
1 m/s
4 m/s
2 m/s
8 m
A certain spring is known to obey Hooke's Law. If a force of 10 newtons stretches the spring 2 meters, how far will a 30 newton force stretch the spring?
1 meter
3 meters
2 meters
6 meters
A 40 kg girl climbs a vertical distance of 5 m in 20 seconds at a constant velocity. How much work has the girl done?
245 J
490 J
980 J
1960 J
A 10 kg mass rest on a horizontal frictionless surface. A horizontal force of 50 newtons is applied to the mass. After the force has been applied for 1 second, the velocity of the mass is:
0 m/s
0.5 m/s
5 m/s
50 m/s
The time needed for a net force of 10 newtons to change the velocity of a 5 kg mass by 3 m per second is
1.5 s
6 seconds
16.7 seconds
150 seconds
A car is moving along a straight horizontal road at a speed of 20 m per second. The brakes are applied and a constant force of 5000 newtons decelerate the car to a stop in 10 seconds. the mass of the car is:
1250kilograms
2500 kilograms
5000 kilograms
10,000 kilograms
A worker lifts a 10 kg block a vertical height of 2 m. The work he does on the block is
5 joules
20 joules
49 joules
200 joules
