Statics and Dynamics Flashcards

Refresh concepts for the FE Mechanical Exam

1
Q

Front (Question)

A

Back (Answer)

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2
Q

What is vector addition of forces in statics?

A

Vector addition of forces involves summing up all the forces acting on an object to find the resultant force.

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3
Q

Describe the conditions for equilibrium in statics.

A

Conditions for equilibrium require that the sum of all forces and the sum of all moments about any point are zero.

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4
Q

What are coplanar force systems?

A

Coplanar force systems are those in which all the forces lie in the same plane.

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5
Q

Explain the difference between static and dynamic equilibrium.

A

Static equilibrium involves no movement, whereas dynamic equilibrium involves motion but no acceleration.

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6
Q

How is the method of joints used in truss analysis?

A

The method of joints analyzes each joint of a truss separately to solve the forces in the truss members using equilibrium.

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7
Q

What is the significance of the center of gravity in statics?

A

The center of gravity is the point at which the total weight of a body is considered to be concentrated.

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8
Q

How do you calculate moments of inertia?

A

Moments of inertia are calculated by integrating the product of the mass element and the square of its distance from the axis of rotation.

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9
Q

What does the coefficient of static friction describe?

A

The coefficient of static friction describes the frictional force resistance between two objects before motion starts.

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10
Q

How is rectilinear motion described in kinematics?

A

Rectilinear motion refers to motion along a straight line, described by displacement, velocity, and acceleration.

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11
Q

What distinguishes kinetic from static friction?

A

Kinetic friction occurs between moving surfaces, whereas static friction acts between surfaces at rest relative to each other.

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12
Q

Explain Newton’s second law for particles.

A

Newton’s second law states that the force acting on a particle is equal to the mass of the particle multiplied by its acceleration.

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13
Q

What is the work-energy principle for particles?

A

The work-energy principle states that the work done on a particle is equal to the change in its kinetic energy.

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14
Q

Define the impulse-momentum theorem for particles.

A

The impulse-momentum theorem states that the change in momentum of a particle is equal to the impulse applied to it.

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15
Q

Describe rotational motion of rigid bodies.

A

Rotational motion involves a rigid body spinning around an internal axis, characterized by angular velocity and acceleration.

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16
Q

How do gear trains function in mechanisms?

A

Gear trains transmit rotational motion between gears, altering the speed and torque of connected components.

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17
Q

What is rotational dynamics?

A

Rotational dynamics studies the effects of forces and torques on the rotational motion of bodies.

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18
Q

How is angular impulse-momentum used in dynamics?

A

Angular impulse-momentum relates the angular impulse applied to a rigid body to the change in its angular momentum.

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19
Q

What factors affect the natural frequency of a system?

A

Natural frequency is influenced by the system’s stiffness and mass distribution.

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20
Q

Describe the role of damping in free and forced vibrations.

A

Damping reduces the amplitude of vibrations over time and is crucial in preventing resonance disasters in forced vibrations.

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21
Q

What is the importance of vector addition in force systems?

A

Vector addition allows for the resultant force and direction to be determined, which is crucial in analyzing static equilibrium.

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22
Q

How does the analysis of spatial force systems differ from coplanar systems?

A

Spatial force systems involve forces acting in three dimensions, requiring consideration of force components along three axes.

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23
Q

Explain the method of sections in truss analysis.

A

The method of sections involves cutting the truss and analyzing the equilibrium of one of the resulting sections to solve for unknown forces.

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24
Q

How are frictional forces calculated?

A

Frictional forces are calculated as the product of the normal force and the coefficient of friction between the two surfaces.

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25
Define curvilinear motion in dynamics.
Curvilinear motion involves movement along a curved path, requiring the analysis of components of motion in a coordinate system suited to the path.
26
What is the significance of kinetic friction in motion?
Kinetic friction acts to oppose the direction of motion and affects the acceleration and energy usage of moving objects.
27
Describe the application of Newton’s second law to rigid bodies.
It applies to calculate the resultant acceleration based on the net force and the mass moment of inertia of the body.
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What is energy methods in dynamics used for?
Energy methods involve using conservation of energy principles to solve for velocities and displacements without directly solving differential equations.
29
How does the conservation of momentum apply to collision analysis?
Conservation of momentum is used to analyze the motion of bodies before and after collisions, assuming no external forces.
30
Explain the concept of linkages in mechanism kinematics.
Linkages are assemblies of rigid bodies connected by joints
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What is the role of frames in statics?
Frames are structures designed to support loads, transferring forces and moments to the foundation.
32
How does a truss differ from a frame?
Trusses have members that are pin connected and forces are only axial, whereas frames have members that may experience bending moments and shear forces.
33
What is the difference between centroids and centers of gravity?
Centroids refer to the geometric center of a shape, while centers of gravity refer to the point where gravity acts on a body.
34
Explain the principles of static friction.
Static friction resists the initiation of sliding motion between two surfaces; it must be overcome by an external force for motion to start.
35
How is the equilibrium of rigid bodies analyzed?
Analysis involves ensuring the net force and the net moment about any point or axis are zero, indicating no acceleration.
36
Describe spatial force systems in statics.
Spatial force systems involve forces acting in three-dimensional space, requiring vector resolution and equilibrium in three axes.
37
What are the implications of different coefficients of static friction on material selection?
Higher coefficients indicate greater friction, which is beneficial for applications needing resistance against sliding.
38
How is the moment of inertia calculated for composite shapes?
The moment of inertia for composite shapes is calculated by summing the moments of inertia of each component shape about the same axis.
39
What is meant by the 'work-energy of rigid bodies'?
It refers to the principle that the work done on a rigid body is converted into kinetic energy, considering rotational and translational motion.
40
Explain the concept of 'impulse-momentum' in rigid bodies.
The impulse-momentum concept states that the change in momentum of a body is equal to the impulse applied to it, useful in collision analyses.
41
What is 'free vibration' and how is it different from 'forced vibration'?
Free vibration occurs without external forces, characterized by the system's natural frequency, while forced vibration is caused by external forces.
42
Describe the application of Newton's second law for rigid bodies.
It's used to determine the acceleration of a body under the influence of external forces, accounting for mass distribution and rotational effects.
43
How do you determine the natural frequency of a system?
The natural frequency is determined by the system's stiffness and mass distribution, often calculated using the system's dynamic model.
44
What are the typical applications of kinetic friction in engineering?
Kinetic friction is considered in applications involving moving parts, such as machinery and vehicles, to estimate energy losses and wear.
45
How is rectilinear motion analyzed in dynamics?
Rectilinear motion is analyzed by considering the displacement, velocity, and acceleration along a straight path, using Newton’s laws of motion.
46
What factors influence the damping in a vibrational system?
Damping is influenced by material properties, system design, and environmental factors, affecting the rate of energy loss in oscillating systems.
47
Explain the significance of gear trains in mechanical systems.
Gear trains transmit mechanical power between shafts, altering the torque and rotational speed according to gear ratios.
48
How are linkages used in kinematic analysis?
Linkages are mechanisms composed of rigid bars connected by joints, analyzed to understand the motion of connected parts.
49
What methods are used to calculate static friction forces?
Static friction forces are calculated using the coefficient of static friction multiplied by the normal force acting between the contacting surfaces.
50
How does impulse affect the momentum of rigid bodies?
Impulse, the product of force and the time it acts, changes the momentum of rigid bodies, integral in collision dynamics.
51
Describe the process of calculating centroids in composite bodies.
Centroids in composite bodies are calculated using the weighted average of the centroids of individual components, based on area or volume.
52
What is the role of moments of inertia in rotational motion?
Moments of inertia measure the resistance of a body to changes in its rotational motion about an axis.
53
How are external forces analyzed in the equilibrium of rigid bodies?
External forces are balanced with internal forces to ensure no net force or moment, maintaining equilibrium.
54
What are the engineering considerations for static and kinetic friction in design?
Considerations include material selection, surface treatments, and lubrication to manage friction according to functional requirements.
55
How is curvilinear motion described in the context of particle kinematics?
Curvilinear motion involves movement along a curved path, analyzed using components of motion in tangential and normal directions.
56
Describe the conservation principles used in impulse-momentum analyses.
Conservation of momentum principles state that the total momentum before an impulse must equal the total momentum after, assuming no external forces.
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A. Resultants of force systems
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B. Concurrent force systems
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C. Equilibrium of rigid bodies
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D. Frames and trusses
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E. Centroids and moments of inertia
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F. Static friction
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A. Kinematics of particles
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B. Kinetic friction
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C. Newton’s second law for particles
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D. Work-energy of particles
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E. Impulse-momentum of particles
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F. Kinematics of rigid bodies
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G. Kinematics of mechanisms
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H. Newton’s second law for rigid bodies
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I. Work-energy of rigid bodies
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J. Impulse-momentum of rigid bodies
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K. Free and forced vibrations
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