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Aug 19, 2021
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A • B • C • D • E • F • G • H • I • K • L • M • N • O • P • R • S • T • V

A

air resistance

7.2: Air Resistance Proportional to the Speed

Angular momentum

3.7: Angular Momentum

Archimedes' Principle

16.7: Archimedes' Principle

asymmetric top

2.16: Rotation of Axes - Three Dimensions
4.6: Force-free Motion of a Rigid Asymmetric Top

B

body cone

4.8: Force-free Motion of a Rigid Symmetric Top

brachistochrone

19.7: The Brachystochrone Property of the Cycloid

Brachystochrone Property

19.7: The Brachystochrone Property of the Cycloid

buoyancy

16.7: Archimedes' Principle
16.9: Floating Bodies

C

calculus of variations

18.4: Area of a Catenoid

Capillary Rise

20.2.3: Capillary Rise

Catenary

18: The Catenary
18.3: Equation of the Catenary in Rectangular Coordinates, and Other Simple Relations

Catenoid

18.4: Area of a Catenoid

center of buoyancy

16.9: Floating Bodies

Center of mass

1.1: Introduction and Some Definitions

Center of Pressure

16.6: Centre of Pressure

centre of buoyancy

16.9: Floating Bodies

Centrifugal force

4.9: Centrifugal and Coriolis Forces

Coefficient of Restitution

5.2: Bouncing Balls
5.3: Head-on Collision of a Moving Sphere with an Initially Stationary Sphere

complementary function

12.1: More on Differential Equations
12.2: Forced Oscillatory Motion

cones

2.6: Three-dimensional Solid Figures. Spheres, Cylinders, Cones.

conservative force

13.4: The Lagrangian Equations of Motion

Contact Angle

20.2.2: Angle of Contact

contracted cycloid

19.8: Contracted and Extended Cycloids

Coriolis Forces

4.9: Centrifugal and Coriolis Forces

corotating reference frame

4.9: Centrifugal and Coriolis Forces

Couette Viscometer

20.4.2: The Couette Viscometer

cycloid

19: The Cycloid
19.1: Introduction to Cycloids
19.3: The Intrinsic Equation to the Cycloid
19.5: Motion on a Cycloid, Cusps Up

cycloidal pendulum

19.9: The Cycloidal Pendulum

cylinders

2.6: Three-dimensional Solid Figures. Spheres, Cylinders, Cones.

D

d’Alembert’s principle

4.9: Centrifugal and Coriolis Forces

Directional cosines

2.16: Rotation of Axes - Three Dimensions

Doppler Effect

15.18: Doppler Effect

Double Pendulum

17.5: Double Pendulum

E

electromagnetism

15.31: Electromagnetism

ellipse

2.20: Ellipses and Ellipsoids

Ellipsoid

2.20: Ellipses and Ellipsoids

Euler angles

4.8: Force-free Motion of a Rigid Symmetric Top

Euler’s equations

4.5: Euler's Equations of Motion

extended cycloid

19.8: Contracted and Extended Cycloids

F

first time integral

6.3C: Body thrown vertically upwards with initial speed v₀

Floating Bodies

16.9: Floating Bodies

force

3.2: Moment of Force

Force (special relativity)

15.29: Force

G

Galilean transformation

15.5: The Lorentz Transformations

generalized coordinates

4.4: Lagrange's Equations of Motion
13.2: Generalized Coordinates and Generalized Forces

generalized forces

4.4: Lagrange's Equations of Motion
13.2: Generalized Coordinates and Generalized Forces

generalized momentum

14.3: Hamilton's Equations of Motion

generalized momentum conjugate to the generalized coordinate

13.4: The Lagrangian Equations of Motion

gnorable coordinate

13.4: The Lagrangian Equations of Motion

H

Hamilton's Equations of Motion

14.3: Hamilton's Equations of Motion

Hamilton's Variational Principle

13.9: Hamilton's Variational Principle

Hamiltonian mechanics

14: Hamiltonian Mechanics

holonomic constraint

13.3: Holonomic Constraints

Hooke’s law

21.4: Hooke’s Law

Hydrostatics

16: Hydrostatics

I

ignorable coordinate

14.3: Hamilton's Equations of Motion

inductor

11.6: Electrical Analogues

inertia tensor

2.17: Solid Body Rotation and the Inertia Tensor
2.18: Determination of the Principal Axes

intrinsic equation of the catenary

18.2: The Intrinsic Equation to the Catenary

isochronous property

19.5: Motion on a Cycloid, Cusps Up
19.9: The Cycloidal Pendulum

K

Kinematic viscosity

20.4: Viscosity

kinetic energy (rotation)

4.3: Kinetic Energy of Rigid Body Rotation

L

Lagrange's Equations of Motion

4.4: Lagrange's Equations of Motion

lagrangian

13.4: The Lagrangian Equations of Motion

Lagrangian Acceleration

13.5: Acceleration Components

Lagrangian Equation

4.10: The Top

Lagrangian mechanics

4.4: Lagrange's Equations of Motion
13: Lagrangian Mechanics

law of conservation of angular momentum

3.11: Torque and Rate of Change of Angular Momentum

Linear momentum

3.5: Linear Momentum

Linear Triatomic Molecule

2.9: Linear Triatomic Molecule

Lissajous ellipse

21.4: Hooke’s Law

Lorentz transformations

15.5: The Lorentz Transformations

M

Minkowski diagram

15.10: Time Dilation
15.14: Order of Events, Causality and the Transmission of Information

Moment of Force

3.2: Moment of Force

Moment of Momentum

3.3: Moment of Momentum

Moments of Inertia

2.1: Definition of Moment of Inertia
2.3: Moments of Inertia of Some Simple Shapes

N

Nutation

4.10: The Top
19.10: Examples of Cycloidal Motion in Physics

O

oblate symmetric top

2.16: Rotation of Axes - Three Dimensions
4.8: Force-free Motion of a Rigid Symmetric Top

oblique collisions

5.4: Oblique Collisions

Oblique Doppler Effect

15.19: The Transverse and Oblique Doppler Effects

P

paraboloid of safety

7.1: No Air Resistance

Parallel Axes Theorem

2.5: Plane Laminas and Mass Points distributed in a Plane
2.11: Plane Laminas. Product Moment. Translation of Axes (Parallel Axes Theorem)

particular integral

12.1: More on Differential Equations

Pascal’s Paradox

16.4: Pressure on a Horizontal Surface. Pressure at Depth

Pendulums

2.10: Pendulums

Perpendicular Axes Theorem

2.5: Plane Laminas and Mass Points distributed in a Plane

Poiseuille's Law

20.4.1: Poiseuille's Law

Poisson Brackets

14.5: Poisson Brackets

principal axes

2.18: Determination of the Principal Axes

principal moments of inertia

2.12: Rotation of Axes

product moment of inertia

2.11: Plane Laminas. Product Moment. Translation of Axes (Parallel Axes Theorem)

Projectiles

7: Projectiles

prolate spheroid

4.8: Force-free Motion of a Rigid Symmetric Top

prolate symmetric top

2.16: Rotation of Axes - Three Dimensions

proper length

15.10: Time Dilation

proper time

15.10: Time Dilation

R

Radius of Gyration

2.4: Radius of Gyration
16.6: Centre of Pressure

Resistive Force

6.3A: Resistive Force Only

rigidity modulus

20.3: Shear Modulus and Torsion Constant

Rocket equation

10.3: The Rocket Equation

Rotation of Axes

2.12: Rotation of Axes

Rotational Inertia

3.7: Angular Momentum

S

second moment of inertia

2.1: Definition of Moment of Inertia
3.13: The Virial Theorem

second time integral

6.3C: Body thrown vertically upwards with initial speed v₀

Shear modulus

20.3: Shear Modulus and Torsion Constant

space integral

6.3C: Body thrown vertically upwards with initial speed v₀

Spheres

2.6: Three-dimensional Solid Figures. Spheres, Cylinders, Cones.

spherical top

2.16: Rotation of Axes - Three Dimensions

superelastic collision

5.2: Bouncing Balls

surface tension

20.2: Surface Tension

system of conservative forces

4.10: The Top

T

tautochronous

19.9: The Cycloidal Pendulum

terminal speed

6.3B: Body falling under gravity in a resisting medium, resistive force proportional to the speed

The Lorentz Transformation

15.7: The Lorentz Transformation as a Rotation

Time dilation

15.10: Time Dilation

Top

4.10: The Top

torque

3.2: Moment of Force
3.8: Torque
3.11: Torque and Rate of Change of Angular Momentum

torsion constant

2.10: Pendulums

Torsional Oscillator

11.3: Torsion Pendulum

torus

2.8: Torus

transient solution

12.2: Forced Oscillatory Motion

Transverse Doppler Effect

15.19: The Transverse and Oblique Doppler Effects

twin paradox

15.11: The Twins Paradox

V

Virial theorem

3.13: The Virial Theorem

virtual work

9.3: Virtual Work

Viscometer

20.4.2: The Couette Viscometer

A

B

C

D

E

F

G

H

I

K

L

M

N

O

P

R

S

T

V

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