Unit 1. mechanics

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Units and measurement

1 The scope and scale of physics

2 Units and standards

3 Unit conversion

4 Dimensional analysis

5 Estimates and fermi calculations

6 Significant figures

7 Solving problems in physics

1 Scalars and vectors

1.1 Algebra of vectors in one dimension

1.2 Algebra of vectors in two dimensions

1.4 Conceptual questions

2 Coordinate systems and components of a vector

3 Algebra of vectors

4 Products of vectors

Motion along a straight line

1 Position, displacement, and average velocity

2 Instantaneous velocity and speed

2.1 Instantaneous velocity

2.3 Calculating instantaneous velocity

2.5 Conceptual questions

3 Average and instantaneous acceleration

3.1 Average acceleration

3.2 Instantaneous acceleration

3.3 Getting a feel for acceleration

3.5 Conceptual questions

4 Motion with constant acceleration

4.2 Displacement and position from velocity

4.3 Solving for final velocity from acceleration and time

4.4 Solving for final position with constant acceleration

4.5 Solving for final velocity from distance and acceleration

4.6 Putting equations together

4.7 Two-body pursuit problems

4.9 Conceptual questions

6 Finding velocity and displacement from acceleration

6.1 Kinematic equations from integral calculus

6.3 Key equations

6.4 Conceptual questions

6.6 Additional problems

6.7 Challenge problems

Motion in two and three dimensions

1 Displacement and velocity vectors

1.1 Displacement vector

1.2 Velocity vector

1.3 The independence of perpendicular motions

1.5 Conceptual questions

2 Acceleration vector

3 Projectile motion

4 Uniform circular motion

5 Relative motion in one and two dimensions

5.1 Reference frames

5.2 Relative motion in one dimension

5.3 Relative velocity in two dimensions

5.5 Key equations

5.6 Conceptual questions

5.8 Additional problems

5.9 Challenge problems

Newton's laws of motion

2 Newton's first law

2.1 Gravitation and inertia

2.2 Inertial reference frames

2.3 Newton’s first law and equilibrium

2.5 Conceptual questions

3 Newton's second law

3.1 Force and acceleration

3.2 Component form of newton’s second law

3.3 Newton’s second law and momentum

3.5 Conceptual questions

4 Mass and weight

5 Newton’s third law

6 Common forces

7 Drawing free-body diagrams

Applications of newton's laws

1 Solving problems with newton’s laws

1.1 Problem-solving strategies

1.2 Particle equilibrium

1.3 Particle acceleration

1.4 Newton’s laws of motion and kinematics

1.6 Conceptual questions

3 Centripetal force

3.1 Banked curves

3.2 Inertial forces and noninertial (accelerated) frames: the coriolis force

3.4 Conceptual questions

4 Drag force and terminal speed

4.1 Drag forces

4.2 Terminal velocity

4.3 The calculus of velocity-dependent frictional forces

4.5 Key equations

4.6 Conceptual questions

4.8 Additional problems

4.9 Challenge problems

Work and kinetic energy

2 Kinetic energy

2.2 Conceptual questions

3 Work-energy theorem

3.2 Conceptual questions

Potential energy and conservation of energy

1 Potential energy of a system

2 Conservative and non-conservative forces

2.2 Conceptual questions

3 Conservation of energy

3.1 Systems with a single particle or object

3.2 Systems with several particles or objects

3.4 Conceptual questions

4 Potential energy diagrams and stability

5 Sources of energy

5.2 Key equations

5.4 Additional problems

Linear momentum and collisions

1 Linear momentum

2 Impulse and collisions

2.1 Effect of impulse

2.2 Momentum and force

2.4 Conceptual questions

3 Conservation of linear momentum

3.1 Requirements for momentum conservation

3.2 The meaning of ‘system’

3.4 Conceptual questions

4 Types of collisions

4.1 One-to-many

4.2 Many-to-one

4.3 Many-to-many

4.4 Subatomic collisions and momentum

4.6 Conceptual questions

5 Collisions in multiple dimensions

6 Center of mass

7 Rocket propulsion

7.1 Physical analysis

7.2 Rocket in a gravitational field

7.4 Key equations

7.5 Conceptual questions

7.7 Additional problems

Fixed-axis rotation

1 Rotational variables

2 Rotation with constant angular acceleration

2.1 Kinematics of rotational motion

2.2 Applying the equations for rotational motion

2.4 Conceptual questions

3 Relating angular and translational quantities

4 Moment of inertia and rotational kinetic energy

4.1 Rotational kinetic energy

4.2 Moment of inertia

4.3 Applying rotational kinetic energy

4.5 Conceptual questions

5 Calculating moments of inertia

5.1 Moment of inertia

5.2 A uniform thin rod with an axis through the center

5.3 A uniform thin rod with axis at the end

5.4 The parallel-axis theorem

5.5 A uniform thin disk about an axis through the center

5.6 Calculating the moment of inertia for compound objects

5.7 Applying moment of inertia calculations to solve problems

5.9 Conceptual questions

7 Newton’s second law for rotation

8 Work and power for rotational motion

Angular momentum

1 Rolling motion

1.1 Rolling motion without slipping

1.2 Rolling motion with slipping

1.3 Conservation of mechanical energy in rolling motion

1.5 Conceptual questions

2 Angular momentum

2.1 Angular momentum of a single particle

2.2 Angular momentum of a system of particles

2.3 Angular momentum of a rigid body

2.5 Conceptual questions

3 Conservation of angular momentum

3.2 Conceptual questions

4 Precession of a gyroscope

4.2 Key equations

4.3 Conceptual questions

4.5 Additional problems

4.6 Challenge problems

Static equilibrium and elasticity

1 Conditions for static equilibrium

1.2 Conceptual questions

2 Examples of static equilibrium

2.2 Conceptual questions

3 Stress, strain, and elastic modulus

3.1 Tensile or compressive stress, strain, and young’s modulus

3.2 Bulk stress, strain, and modulus

3.3 Shear stress, strain, and modulus

3.5 Conceptual questions

4 Elasticity and plasticity

1 Newton's law of universal gravitation

2 Gravitation near earth's surface

2.2 The gravitational field

2.3 Apparent weight: accounting for earth’s rotation

2.4 Results away from the equator

2.5 Gravity away from the surface

2.7 Conceptual questions

3 Gravitational potential energy and total energy

3.1 Gravitational potential energy beyond earth

3.2 Conservation of energy

3.3 Escape velocity

3.4 Energy and gravitationally bound objects

3.6 Conceptual questions

4 Satellite orbits and energy

4.1 Circular orbits

4.2 Energy in circular orbits

4.4 Conceptual questions

5 Kepler's laws of planetary motion

7 Einstein's theory of gravity

7.1 A revolution in perspective

7.2 The principle of equivalence

7.3 A geometric theory of gravity

7.4 Black holes

7.5 The event horizon

7.6 The evidence for black holes

7.7 Dark matter

7.9 Key equations

7.10 Conceptual questions

7.12 Additional problems

7.13 Challenge problems

Fluid mechanics

1 Fluids, density, and pressure

1.1 Characteristics of solids

1.2 Characteristics of fluids

1.5 Variation of pressure with depth in a fluid of constant density

1.6 Pressure in a static fluid in a uniform gravitational field

1.7 Pressure in a fluid with a constant density

1.8 Variation of atmospheric pressure with height

1.9 Direction of pressure in a fluid

1.11 Conceptual questions

2 Measuring pressure

2.1 Gauge pressure vs. absolute pressure

2.2 Measuring pressure

2.5 Units of pressure

2.7 Conceptual questions

3 Pascal's principle and hydraulics

3.1 Pascal’s principle

3.2 Applications of pascal’s principle and hydraulic systems

3.4 Conceptual questions

4 Archimedes’ principle and buoyancy

4.1 Archimedes’ principle

4.2 Density and archimedes’ principle

4.3 Measuring density

4.5 Conceptual questions

5 Fluid dynamics

5.1 Characteristics of flow

5.2 Flow rate and its relation to velocity

5.3 Mass conservation

5.5 Conceptual questions

6 Bernoulli’s equation

6.1 Energy conservation and bernoulli’s equation

6.2 Analyzing bernoulli’s equation

6.3 Bernoulli’s equation for static fluids

6.4 Bernoulli’s principle

6.5 Applications of bernoulli’s principle

6.6 Entrainment

6.7 Velocity measurement

6.8 A fire hose

6.10 Conceptual questions

7 Viscosity and turbulence

Source: OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5

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