• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
(the terminal velocity is smaller for larger cross
(the terminal velocity is smaller for larger cross

... Force exerted by a spring: Hooke’s law: If spring is stretched or compressed by some small amount it exerted a force which is linearly proportional to the amount of stretching or compressing. The constant of proportionality is called the spring constant ...
Force, Work and Power
Force, Work and Power

Class XI-Physics 2016-17
Class XI-Physics 2016-17

... Name the forces having the longest and shortest range of operation. When momentum of a body is doubled, how will its kinetic energy change? What is meant by a geostationary satellite? When does the streamline flow become turbulent? Find the dimensions of a and b in the equation E = (b-x2)/at where E ...
Discussion Guide
Discussion Guide

U3 WKS 4 Name___________________Pd
U3 WKS 4 Name___________________Pd

... B. What is the value of the frictional force on the box? ________________ C. What is the value of the force of gravity on the box (its weight?)______________ D. How does the value of the normal force compare to the weight of the box? ______________ 5. The box on the 3-meter-long frictionless ramp is ...
Gravitation - RAIDERPHYSICS
Gravitation - RAIDERPHYSICS

Acceleration and Momentum
Acceleration and Momentum

12.2 Newton`s 1st and 2nd Laws of Motion
12.2 Newton`s 1st and 2nd Laws of Motion

... continue moving at a constant velocity unless acted upon by a nonzero net force ...
Motion and Forces
Motion and Forces

... Gravitational force is determined by the distance between the two masses. Everything falls at an acceleration of 9.8 m/s2 in the absence of air resistance Gravity is opposed by air resistance ...
Chapter 8
Chapter 8

Chapter 5. Gravitation
Chapter 5. Gravitation

lecture03
lecture03

... Example: Two carts are put back-to-back on a track. Cart A has a springloaded piston; cart B, which has twice the mass of cart A, is entirely passive. When the piston is released, it pushes against cart B, and the carts move apart. Which of the two forces exerted by the two carts on each other has ...
Ch 6 Newton`s Third Law Summary
Ch 6 Newton`s Third Law Summary

... For every interaction between things, there is always a pair of oppositely directed forces that are equal in strength. • Suppose that, for some reason, you punch a wall. You cannot hit the wall any harder than the wall can hit you back. • Hold a sheet of paper in midair and tell your friends that th ...
inertial reference frame - University of Toronto Physics
inertial reference frame - University of Toronto Physics

Chapt14-16ReviewNC
Chapt14-16ReviewNC

AOS2 KK1 & KK2 Motion & Levers ppt.
AOS2 KK1 & KK2 Motion & Levers ppt.

... Angular Velocity and Moment of Inertia • measures the rate of angular velocity of an object around its axis of rotation, measured in degrees per second, or revolutions per second eg. cycling rpm • Moment of Inertia reflects Newton’s First Law: the moment of inertia of of a rotating body is its resi ...
Conservation of ME, Work, and Net Work/Change in KE
Conservation of ME, Work, and Net Work/Change in KE

... that of your belongings is 915 N. A) How much work does the elevator do in lifting you and your belongings up five stories (15.2 m) with a constant velocity? B) How much work does the elevator do on you (without belongings) on the downward trip which is also made at a constant velocity? 5-8) Find th ...
B = 1.2 T q, m proton: m = 1.67 x 10 kg q = e = 1.6 x 10 C v0 = 2 x 10
B = 1.2 T q, m proton: m = 1.67 x 10 kg q = e = 1.6 x 10 C v0 = 2 x 10

Semester Exam Review
Semester Exam Review

... 10. For the object whose motion is graphed in figure 1, which of the following is true. a. it is moving at a constant speed b. it is speeding up c. it is slowing down d. it is not moving e. it is accelerating 11. For the object whose motion is graphed in figure 2, which of the following is true. a. ...
6.1 - ThisIsPhysics
6.1 - ThisIsPhysics

... Newton’s universal law of gravitation • Newton proposed that a force of attraction exists between any two masses. • This force law applies to point masses not extended masses • However the interaction between two spherical masses is the same as if the masses were concentrated at the centres of the ...
Jeopardy Review
Jeopardy Review

... Vertical forces 400 pts Answer ...
study guide answers
study guide answers

Ohio`s Learning Standards Forces and Motion: Objectives
Ohio`s Learning Standards Forces and Motion: Objectives

MP 2 Quarterly Review Sheet Answers
MP 2 Quarterly Review Sheet Answers

Chapter 2 - Gordon State College
Chapter 2 - Gordon State College

< 1 ... 301 302 303 304 305 306 307 308 309 ... 446 >

Newton's theorem of revolving orbits



In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report