physics 111 elementary mechanics lecture 12
Download
Skip this Video
Download Presentation
Physics 111: Elementary Mechanics – Lecture 12

Loading in 2 Seconds...

play fullscreen
1 / 10

Physics 111: Elementary Mechanics Lecture 12 - PowerPoint PPT Presentation


  • 180 Views
  • Uploaded on

Physics 111: Elementary Mechanics – Lecture 12. Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research. Equilibrium. The linear momentum P of the center of mass is constant. The angular momentum L about the center of mass, or about any other point, is constant.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Physics 111: Elementary Mechanics Lecture 12' - thornton


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
physics 111 elementary mechanics lecture 12

Physics 111: Elementary Mechanics – Lecture 12

Carsten Denker

NJIT Physics Department

Center for Solar–Terrestrial Research

equilibrium
Equilibrium
  • The linear momentum P of the center of mass is constant.
  • The angular momentum L about the center of mass, or about any other point, is constant.
  • Static equilibrium: and
  • Stable and unstable static equilibrium

Center for Solar-Terrestrial Research

requirement of equilibrium
Requirement of Equilibrium
  • The vector sum of all external forces that act on a body must be zero.
  • The vector sum of all external torques that act on a body, measured about any possible point, must also be zero.
  • The linear momentum of the body must be zero.

balance of forces

balance of torques

Center for Solar-Terrestrial Research

center of gravity
Center of Gravity
  • The gravitational force on a body effectively acts on a single point, called the center of gravity.
  • If is the same for all elements of a body, then the body’s center of gravity is coincident with the body’s center of mass.

Center for Solar-Terrestrial Research

newton s law of gravitation
Newton’s Law of Gravitation

A uniform spherical shell shell of matter attracts a particles that is outside the shell as if all the shell’s mass is concentrated at its center!

G = 6.67  10–11 N m2/kg2

Superposition Principle

Center for Solar-Terrestrial Research

gravitation near earth s surface
Gravitation Near Earth’s Surface

Gravitational acceleration

  • Earth is not uniform
  • Earth is not a sphere
  • Earth is rotating

Mean Earth surface (0 km, 9.83 m/s2), Mt. Everest (8.8 km, 9.80 m/s2), highest manned balloon ( 36.6 km, 9.71 m/s2), Space Shuttle orbit (400 km, 8.70 m/s2), and communications satellite (35,700 km, 0.225 m/s2)

Center for Solar-Terrestrial Research

kepler s laws
Kepler’s Laws
  • The Law of Orbits:All planets move in elliptical orbits, with the Sun at one focus.
  • The Law of Areas: A line that connects the planet to the Sun sweeps out equal areas in the plane of the planet’s orbit in equal times, i.e., the rate dA/dt at which it sweeps out area A is constant.
  • The Law of Periods: The square of the period is proportional to the cube of the semimajor axis of its orbit.

Center for Solar-Terrestrial Research

potential and kinetic energy
Potential and Kinetic Energy

Potential Energy

Kinetic Energy

Total Energy

Center for Solar-Terrestrial Research

einstein and gravitation
Einstein and Gravitation

Center for Solar-Terrestrial Research

ad