# Rigid Body Mechanics

 Rigid body mechanics includes dynamic systems, static systems, rotational dynamics, and rigid body description and motion.

## Dynamic systems

In traditional treatments, this is simply called dynamics. Bodies that have both rotational and translational motion, or which have rotating and nonrotating parts, can be analyzed using these techniques.

## Static systems

This section includes the discipline usually known as statics, and involves study of the forces on objects and bodies that are at rest.

## Rotational dynamics

Rotational dynamics involves the kinematic, kinetic, and energetic quantities and laws of bodies in pure rotation. Many of these are developed based on analogies of particle kinematics.

## Rigid body description and motion

The mathematical description of bodies is included here. Motion of rigid bodies can be described in terms of translation, or movement from place to place, and rotation. Translation can be described using particle mechanics.

### History

History including prehistory, antiquity, and classical and medieval history can be connected.

Modern history including the 16th century can be connected. Rigid body mechanics along with all other branches of mechanics developed substantially in modern times. The 17th century including the early 17th century, early mid 17th century, mid 17th century, late mid 17th century, and late 17th century can be connected. Newton's laws of mechanics were formulated. The 18th century including the early 18th century, early mid 18th century, mid 18th century, late mid 18th century, and late 18th century can be connected. Joseph-Louis Lagrange reformulated Newton's mechanics. The 19th century including the early 19th century, early mid 19th century, mid 19th century, late mid 19th century, and late 19th century can be connected. Hamilton reformulated Lagrange's approach to mechanics, creating Hamiltonian mechanics.

The 20th century including the early 20th century, early mid 20th century, mid 20th century, late mid 20th century, and late 20th century can be connected. The early 21st century including the early 2000s, late 2000s, early 2010s, and late 2010s can be connected. The methods and techniques of computation developed. The future can be connected.

### Sociology

Sociology including peoples of the world, communities, and social mechanics can be connected.

#### Peoples of the world

Peoples of the world including nations and major groups of Western Civilization, Asiatic peoples, African peoples, and American Indian peoples can be connected.

Nations such as Indonesia, Brazil, Pakistan, Nigeria, Russia, Bangladesh, Japan, Mexico, Philippines, Vietnam, Ethiopia, Egypt, Germany, Iran, Turkey, Congo DR, Thailand, France, United Kingdom, Italy, South Africa, South Korea, Burma, Colombia, Spain, Ukraine, Tanzania, Argentina, Kenya, Poland, Algeria, Canada, Iraq, Uganda, Morocco, Sudan, Peru, Uzbekistan, Malaysia, Venezuela, Saudi Arabia, Nepal, Yemen, Afghanistan, Ghana, North Korea, Mozambique, Taiwan, Australia, Syria, Côte d'Ivoire, Madagascar, Sri Lanka, Angola, Cameroon, Romania, Chile, Netherlands, Kazakhstan, Niger, Burkina Faso, Guatemala, Mali, Ecuador, Cambodia, Malawi, Zambia, Senegal, Zimbabwe, Chad, Cuba, Belgium, Greece, Rwanda, Tunisia, Portugal, Czech Republic, Bolivia, Guinea, Burundi, Haiti, Hungary, Somalia, Sweden, Belarus, Dominican Republic, Azerbaijan, Benin, Austria, Honduras, United Arab Emirates, South Sudan, Switzerland, Israel, Tajikistan, Bulgaria, Serbia, Hong Kong, Papua New Guinea, Libya, Paraguay, Jordan, Laos, El Salvador, Togo, Nicaragua, Eritrea, Denmark, Kyrgystan, Slovakia, Finland, Sierra Leone, Singapore, Turkmenistan, Norway, Central African Republic, Ireland, Georgia, New Zealand, Costa Rica, Palestinian Territories, Croatia, and Lebanon can be connected.

Western Civilization including the United States can be connected. Rigid body mechanics has developed first and most within Western Civilization.

Asatic peoples including Oriental peoples can be connected. India can be connected. Oriental peoples such as those of China can be connected.

American Indian peoples such as those of the United States can be connected.

Communities such as Tokyo, Seoul, Mexico City, New York City, Mumbai, Jakarta, Sao Paulo, Delhi, Shanghai, Manila, Karachi, Cairo, Beijing, Osaka, Canton, Moscow, Los Angeles, Calcutta, Dacca, Buenos Aires, Istanbul, Rio de Janeiro, Shenzhen, Lagos, Paris, Nagoya, Lima, Chicago, Kinshasa, Tianjin, Chennai, Bengaluru, London, Saigon, Donguan, Hyderabad, Chengdu, Lahore, Johannesburg, Tehran, Essen, Bangkok, Hong Kong, Wuhan, Ahmedabad, Chongqing, Baghdad, Hangzhou, Toronto, Kuala Lumpur, Santiago, Dallas, San Francisco, Quanzhou, Miami, Shenyang, Belo Horizonte, Philadelphia, Nanjing; Madrid, Houston, Xian, Milan, Luanda, Pune; Singapore, Riyadh can be connected. Social mechanics including social change, social types, and social structure can be connected.

### Institutions

Institutions including religion, government, economics, education, and families can be connected.

Religion including particular religions of the world, religious organization, religious practice, and religious belief can be connected. Government including particular governments, government activity, government structure, and law can be connected. Economics including economic systems, industries, and economic activity can be connected. Education including school systems, educational organization, cultural institutions, teaching, and research can be connected. Families including particular families, kinship, parenting, and marriage can be connected.

### Culture

Culture including behavioral culture, conceptual culture, and material culture can be connected.

Behavioral culture including cultural events, recreation and entertainment, occupations, and customs can be connected. Conceptual culture including philosophy, applied science, mathematics, literature, graphic arts, and language can be connected. Material culture including miscellaneous artifacts, communications technology, transportation technology, clothing and dress, foodstuffs, building technology, and industrial technology can be connected.

Anthropology including human geography, human ecology, physical anthropology, demography, and social foundations can be connected. Particular groups can be connected.

Personal studies including biography, psychology, and the human body can be connected.

Other science including biology, earth science, astronomy, and chemistry can be connected.

Other physics including structure of matter, quantum physics, relativity, electromagnetism, and thermodynamics ca be connected. Other mechanics including gravitation and celestial mechanics, general mechanics and particle mechanics can be connected.

Created 4 Mar 2017 Last updated 16 Sep 2017