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Questions and Answers
What defines statics in the context of engineering mechanics?
What defines statics in the context of engineering mechanics?
Which of the following is NOT a major topic covered in the statics module?
Which of the following is NOT a major topic covered in the statics module?
What is the primary focus of mechanics in relation to forces?
What is the primary focus of mechanics in relation to forces?
What is the primary mathematical focus in the study of statics?
What is the primary mathematical focus in the study of statics?
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In which scenario is statics particularly critical?
In which scenario is statics particularly critical?
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What is essential to maintaining dimensional homogeneity in calculations?
What is essential to maintaining dimensional homogeneity in calculations?
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Which unit is used to measure mass in the context of statics?
Which unit is used to measure mass in the context of statics?
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In the three-step approach to problem-solving, what does the letter 'P' represent?
In the three-step approach to problem-solving, what does the letter 'P' represent?
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When reporting an answer, how should the accuracy be determined?
When reporting an answer, how should the accuracy be determined?
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What might happen if statics principles are not properly applied in engineering design?
What might happen if statics principles are not properly applied in engineering design?
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Which of the following best illustrates a problem-solving strategy in statics?
Which of the following best illustrates a problem-solving strategy in statics?
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What is the result of evaluating $(230 ext{ m})^3$ and expressing it with an appropriate prefix?
What is the result of evaluating $(230 ext{ m})^3$ and expressing it with an appropriate prefix?
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Which component is NOT essential to understanding 2D and 3D particle equilibrium?
Which component is NOT essential to understanding 2D and 3D particle equilibrium?
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If a man weighs 155 lb on Earth, how can his mass be converted to kilograms using the provided information?
If a man weighs 155 lb on Earth, how can his mass be converted to kilograms using the provided information?
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If the final answer calculated is 12345.6 N, which response correctly represents it respecting significant figures?
If the final answer calculated is 12345.6 N, which response correctly represents it respecting significant figures?
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What type of mechanics serves as the foundation for many modern engineering sciences?
What type of mechanics serves as the foundation for many modern engineering sciences?
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What is the unit of force in the SI system?
What is the unit of force in the SI system?
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According to Newton's first law, a particle at rest will remain in that state unless:
According to Newton's first law, a particle at rest will remain in that state unless:
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Which of the following defines a rigid body?
Which of the following defines a rigid body?
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What typically differentiates a concentrated force from a distributed force?
What typically differentiates a concentrated force from a distributed force?
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How is the gravitational constant G defined?
How is the gravitational constant G defined?
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What does the equation F = m x a express?
What does the equation F = m x a express?
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Which of the following is NOT one of the four fundamental physical quantities?
Which of the following is NOT one of the four fundamental physical quantities?
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Which conversion factor correctly relates feet to meters?
Which conversion factor correctly relates feet to meters?
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What is the correct SI unit for torque when converted from 47 lb in?
What is the correct SI unit for torque when converted from 47 lb in?
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Why is it important to use an appropriate number of significant figures in engineering calculations?
Why is it important to use an appropriate number of significant figures in engineering calculations?
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What must be true for a calculation involving distance, speed, and time?
What must be true for a calculation involving distance, speed, and time?
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Which of the following is a correct way to round off a number to three significant figures?
Which of the following is a correct way to round off a number to three significant figures?
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What does dimensional homogeneity refer to in calculations?
What does dimensional homogeneity refer to in calculations?
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In the context of significant figures, when should you round up a number?
In the context of significant figures, when should you round up a number?
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Which of the following statements is true regarding the rules for using SI symbols?
Which of the following statements is true regarding the rules for using SI symbols?
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What step should you take first in the problem-solving strategy?
What step should you take first in the problem-solving strategy?
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Study Notes
Engineering Mechanics: Statics - ENG2008
- Course lecturer/tutors: Vaughn Brown
- Email: [email protected]
- Office hours: Monday 10:00 AM - 12:00 PM (Mechanical Office)
Module Description
- The module studies the effects of forces on particles and rigid bodies in mechanical equilibrium
- Focuses on sharpening mathematical skills in vector and linear algebra
- Covers active and reactive forces (concentrated and distributed)
- Includes trusses, beams, composites, friction, and inertia
Major Topics
- Vector Operations and the Cartesian System
- Unit Vector
- Coordinate Angles
- Dot Product
- 2D and 3D Particle Equilibrium
- 2D and 3D Moments about a point and axis
- 3D Rigid Body Equilibrium
- Trusses and Internal Forces
- Centroids and Center of Gravity
- Moments of Inertia
Recommended Text
- Hibbeler, R.C. "Engineering Mechanics: Statics", SI ed. Prentice Hall, 2010
Assessment Breakdown
- Quizzes (best 4 of 6): 15%
- Test 1 and 2: 15%
- Assignment: 10%
- Design Project: 10%
- Exam: 50%
Access to Module Content
- Moodle
- Search: Engineering Mechanics: Statics SEM 2 AY 2023/2024
- Includes: Textbook, syllabus, module outline, lectures, and tutorials
- Also review proposed course schedule.
Today's Objectives
- Identify mechanics/statics
- Work with two types of units
- Round final answers appropriately
- Apply problem-solving strategies
In-Class Activities
- What is mechanics?
- System of units
- Numerical calculations
- Problem-solving strategy
- Sample quiz questions
What is Mechanics?
- Study of what happens to a "body" under the application of forces
- Forces can range from large (e.g., rocket launch) to small
Branches of Mechanics
- Mechanics
- Particle
- Statics: Study of rigid bodies in mechanical equilibrium (at rest or constant velocity)
- Dynamics: Study of rigid bodies in motion
- Rigid Bodies (Solids): (Things that do not change shape)
- Deformable Bodies (e.g. Elastics): (Things that change shape)
- Fluids (Liquids and Gases)
- Fluid Mechanics
- Fluid Dynamics
- Incompressible Flow
- Compressible Flow
- Particle
What May Happen if Statics is Not Applied Properly?
- Illustrated by an image of a truck in an unsafe position.
Fundamental Concepts - Quantities
- Length (Units: m): Used to locate points and describe size.
- Time (Units: s): Conceived as a succession of events.
- Mass (Units: kg): Measures the amount of matter in a body.
- Force (Units: N = kg⋅m/s²): A push or pull exerted by one body on another.
Fundamental Concepts - Idealizations
- Particle: Mass exists, but size is negligible
- Rigid Body: A large collection of points that maintain fixed distances.
- Concentrated Force: A force acting at a point
- Distributed Force: To be defined
Newton's Laws of Motion
- First Law: A body at rest or moving with constant velocity remains so unless acted upon by an unbalanced force.
- Second Law: A body acted upon by an unbalanced force experiences acceleration in the direction of the force, proportional to the force.
- Third Law: For every action, there is an equal and opposite reaction.
- Law of Gravitational Attraction: The force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them (F = G*(m1*m2)/r^2).
Systems of Units
- Four fundamental physical quantities: length, mass, time, force
- F = m * a is used to develop systems of units.
Unit Systems
- Define three units as base units
- Derive the fourth unit using F= m * a
- Focus on SI and US customary systems.
Common Conversion Factors
- Various conversions between feet, inches, pounds, slugs, and meters, Newtons
- Work problems using given units unless otherwise instructed
- Example conversion for torque
Rules for Using SI Symbols
- No plural units (e.g. kg not kgs)
- Separate units with a multiplication sign
- Use lower-case symbols, except for some exceptions (e.g., N, Pa, M, and G)
- Exponential powers apply to units (e.g. cm² = cm * cm)
- Apply algebraic operations to both numerical characters and unit symbols
Numerical Calculations
- Calculations must exhibit dimensional homogeneity (same dimensions on both sides of the equation)
- Use appropriate significant figures (3 for answers and at least 4 for intermediate calculations
- Consistent rounding rules (rounding up or down based on the digit after the digit you round to, with rules for if the digit equals 5)
Concept Quiz
- Historical use of slide rules limited significant figures
- Original data typically has accuracy under 1%
Problem Solving Strategy
- 3-step approach
- Interpretation: Identify knowns, unknowns, and assumptions.
- Planning: Outline steps and consider alternative solutions.
- Execution: Apply formulas, diagrams, and estimate answers. Reflect/revise work and remember units
General Procedure for Analysis
- 6-step approach for problem presentation.
- Understand the problem
- Tabulate given info
- Identify assumptions and relevant equations
- Solve the equation correctly (maintaining dimensional homogeneity)
- Report answer with relevant accuracy
- Consider the reasonableness of the answer
- Review and suggest alternative methods
Sample Reading Quiz
- Mechanics deals with forces (not magnetic fields, heat, neutrons, or lasers)
- Newtonian Mechanics is the basis for many modern engineering concepts (not relativistic, euclidean, or greek mechanics)
Sample Attention Quiz
- Write final answers in a proper format, showing correct units
- "P" in the three-step problem-solving approach stands for "Plan"
Group Work
- Includes evaluating units; metric conversions
Additional Information
- Provide weights, and solve for the mass, using conversion factors and other given information.
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Description
This quiz covers the principles of Engineering Mechanics, focusing on the effects of forces on particles and rigid bodies in mechanical equilibrium. You'll sharpen your mathematical skills in vector and linear algebra through various topics, including equilibrium and the analysis of trusses and beams.
