Where the concept of force does not exist

Assignment Help Mechanical Engineering

Reference no: EM131383376

A particle is constrained to move over a smooth fixed surface under no forces other than the force of constraint. By using Hamilton's principle and energy conservation, show that the path of the particle must be a geodesic of the surface. (The term geodesic has been extended here to mean those paths that make the length functional stationary).

This result has a counterpart in the theory of general relativity, where the concept of force does not exist and particles move along the geodesics of a curved space-time.

Reference no: EM131383376

Questions Cloud

Find the hamiltonian for a projectile of mass m : Projectile Using Cartesian coordinates, find the Hamiltonian for a projectile of mass m moving under uniform gravity. Obtain Hamilton's equations and identify any cyclic coordinates.

Provide three sources for your entry minimum : Provide three sources for your entry minimum. Wikipedia and other non-academic websites will not be accepted for this criteria. Cite academic articles, books, or other research at sources of your conclusions.

Find the hamiltonian and obtain hamiltons equations : A particle P of mass m can slide freely on the wire. Taking θ as generalised coordinate, find the Hamiltonian and obtain Hamilton's equations for this system.

Design a mechatronic system for the case described : Identify the types of sensors you used, describe how they work, and explain how you are going to interface and control them. Make suitable sketches if needed.

Where the concept of force does not exist : This result has a counterpart in the theory of general relativity, where the concept of force does not exist and particles move along the geodesics of a curved space-time.

Is presence at a crime scene alone probable cause : Based on the interview with the couple in the story above, do you believe probable existed for their arrest?Can a person be arrested just for being a member of a criminal gang? Is membership in a criminal gang alone probable cause for an arrest?Is ..

Do customers always know what they value in a product : Do customers always know what they value in a product? How does an organization sell its products or services to customers who are not aware of their buying preference?

Emergent encounter or on an ongoing basis : If a Medicare beneficiary lives in or travels to a foreign country, does or should Medicare cover medical services rendered in that country - for either an emergent encounter or on an ongoing basis?

What are the costs to the company for each added incentive : Are your specified options provided for employees of all levels or just for certain positions? What are the costs to the company for each added incentive? How do these incentives shape/determine the type of employee you attract

User Account

All Pages