• 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
Color
Color

... Q: Why does distance from the pivot affect speed? A: Moving toward the pivot reduces rotational mass Lever arm is a vector from p pivot to rider Gravitation torque is proportional to lever arm  Rotational mass is proportional to lever arm2  Angular acceleration is proportional to 1/lever arm ...
CPHDRW FOR c06 41
CPHDRW FOR c06 41

Chapter 5 PowerPoint - Derry Area School District
Chapter 5 PowerPoint - Derry Area School District

... 5.2 Work Done by a Variable Force • Forces that do work are not always constant. example: To move a sofa, you push harder and harder until you can ...
Chapter 4: The Fundamental Interactions
Chapter 4: The Fundamental Interactions

Chapter 7
Chapter 7

... rebounds with the same speed. If the contact time with the wall is 0.01 s, what is average force of the wall on the ball? ...
Vectors
Vectors

... Day #3 Vectors HW Problems 18. Two ants at a picnic find a small piece of cake. Each picks up the cake and tries to carry it home. The first ant’s home is at a bearing of [W 15o N] and he pulls with a force of 10 dynes. The second ant’s home is at a bearing of [S 15o W] , and he pulls with a force o ...
Chapter 7 Lecture
Chapter 7 Lecture

... In solving problems, you must choose a reference configuration for which the gravitational potential energy is set equal to some reference value, normally zero.  The choice is arbitrary because you normally need the difference in potential energy, which is independent of the choice of reference con ...
Inclined Planes and Work
Inclined Planes and Work

... work by multiplying the force that we apply or by changing the direction of the force. Inclined planes multiply our applied force. The amount by which a machine can multiply a force is called the machine’s Mechanical Advantage. Whether a machine is useful depends on whether it gives us more mechanic ...
Motion in one dimension: Equations of motion
Motion in one dimension: Equations of motion

Homework - Exam From last time… Time dilation, length contraction
Homework - Exam From last time… Time dilation, length contraction

Fluid friction
Fluid friction

MATH 1411 – Final Project
MATH 1411 – Final Project

Physics 207: Lecture 2 Notes
Physics 207: Lecture 2 Notes

... vertically and, at the end, only horizontally (1/4 of a circle all told). Gravity, 10 m/s2, acts along the vertical. If the initial velocity is 2 m/s downward then (a) What is the work done by gravity on the mass? (b) What is the final speed of the mass when it reaches the bottom? (c) What is the no ...
Determining the Net Force
Determining the Net Force

Acceleration and free fall
Acceleration and free fall

... In 1849, Fizeau carried out the first terrestrial measurement of the speed of light; previous measurements by Roemer and Bradley had involved astronomical observation. The figure shows a simplified conceptual representation of Fizeau’s experiment. A ray of light from a bright source was directed thr ...
Chapter 9
Chapter 9

chapter13
chapter13

... • This shows that the period is independent of the amplitude and the mass • The period depends on the length of the pendulum and the acceleration of gravity at the location of the pendulum Section 13.5 ...
Grade 6 Physical Posttest
Grade 6 Physical Posttest

Unit 1 – Linear Motion
Unit 1 – Linear Motion

04_InstructorGuideWin
04_InstructorGuideWin

... These activities are good preparation for the critical demonstration of Day 1. Place a block in the center of the lecture table and ask students what force or forces are acting on the block. You’ll get lots of responses of “gravity.” If you inquire about other forces, a few will say “the normal forc ...
Ch 4 - iPride22.org
Ch 4 - iPride22.org

... • In 1991, a lobster with a mass of 20.0 kg was caught off the coast of Nova Scotia, Canada. Imagine this lobster involved in a friendly tug of war with several smaller lobsters on a horizontal plane at the bottom of the sea. Suppose the smaller lobsters are able to drag the large lobster, so that a ...
Lab8_MomentofInertia
Lab8_MomentofInertia

... velocity. You have also learned that when an object has a velocity we say that the object has kinetic energy, ½ m v2. You then learned about potential energy and how a force such as gravity can convert gravitational potential energy into kinetic energy. These ideas involved objects moving in transla ...
Unit 2 Lesson 3
Unit 2 Lesson 3

t - leonkag
t - leonkag

... Conservation of Energy The English physicist Michael Faraday wrote, “Nowhere is there a pure creation or production of power without a corresponding exhaustion of something to supply it.” This statement represents one of the first formulation of one of the most important laws of physics—the Law of ...
Preface 1 PDF
Preface 1 PDF

... curvilinear coordinates in space. It includes the classification of a particle’s motion with respect to acceleration. In Sect. 4.4, the concept of natural coordinates is illustrated and discussed. The motion of a radius vector and rectangular and curvilinear coordinates in space are introduced and t ...
< 1 ... 152 153 154 155 156 157 158 159 160 ... 642 >

Classical central-force problem



In classical mechanics, the central-force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In many important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.The solution of this problem is important to classical physics, since many naturally occurring forces are central. Examples include gravity and electromagnetism as described by Newton's law of universal gravitation and Coulomb's law, respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along the line connecting the two bodies) can be reduced to a central-force problem. Finally, the solution to the central-force problem often makes a good initial approximation of the true motion, as in calculating the motion of the planets in the Solar System.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report