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Mechanics Articles

Tag Archive for: mechanics

slinky drop experiment

The Slinky Drop Experiment Analysed

March 28, 2024
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1 Comment
The slinky drop is a rather simple experiment. In its most basic form, it requires only a popular toy for children, a stable hand, and a keen eye.…
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Multi-Atwood Machine Assembly

How to Solve a Multi-Atwood Machine Assembly

February 16, 2024
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2 Comments
IntroductionThe figure on the right shows a "double-double" Atwood machine with three ideal pulleys and four masses.  All pulleys are released from…
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Variable Mass Systems

How to Apply Newton’s Second Law to Variable Mass Systems

August 15, 2023
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2 Comments
Introduction The applicability of Newton's second law in the oft-quoted "general form"  $$\begin{align}\frac{d\mathbf{P}}{dt}=\mathbf{F}_{\text{ext}}\end{align}$$…
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MIT course corrections

Corrections to MIT Open Courseware: Systems of Varying Mass

September 14, 2021
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1 Comment
Corrections to MIT Open Courseware 8-01sc classical mechanics, fall 2016 Applying Newton's Laws to systems of Varying Mass PDF Course Link My concerns…
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rotational mechanics

An Example of Servo-Constraints in Mechanics

September 30, 2018
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4 Comments
Servo-constraint was invented by Henri Beghin in his Ph.D. thesis in 1922. For details see the celebrated monograph in rational mechanics by Paul Appell.To…
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basickinematics

Learn Basic Kinematics in Classical Mechanics

July 1, 2016
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8 Comments
There is an interesting thing in teaching of Classical Mechanics. Several theorems which presented below form a core part of kinematics for all Russian…
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kinematics

Presenting a Rare Kinematic Formula

June 12, 2016
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1 Comment
Here we present some useful kinematic fact which is uncommon for textbooks in mechanics. Consider a convex rigid body (RB) rolling without slipping…
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airplanelift

How Does an Airplane Wing Work? A Primer on Lift

November 30, 2015
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56 Comments
Many people ask how an airplane wing works, and several answers are commonly given. You might have even seen vigorous arguments between proponents…
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errors springs

Frequently Made Errors in Mechanics: Springs

May 23, 2015
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3 Comments
  1. Springs in Series "A spring of constant ##k_1## is connected in series with a spring of constant ##k_2##.  What is the spring constant…
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kinematic errors

Frequently Made Errors in Mechanics: Kinematics

May 12, 2015
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10 Comments
Kinematics is the subset of dynamics that only concerns itself with time, displacement, velocity, and acceleration. A problem is a kinematics problem…
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mistakes moments

Frequently Made Errors in Mechanics: Moments

May 10, 2015
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7 Comments
Entire List for Frequently Made Errors Series MechanicsForces Friction Moments Kinematics Hydrostatics Momentum and Impacts Springs …
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friction

Frequently Made Errors in Mechanics: Friction

May 8, 2015
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8 Comments
1. Direction of the normalDefinition: The normal force that body A exerts on body B is that force of minimum magnitude which suffices to prevent penetration…
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forces mistakes

Frequently Made Errors in Mechanics: Forces

May 6, 2015
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35 Comments
Entire List for Frequently Made Errors Series Mechanics Forces Friction Moments Kinematics Hydrostatics Momentum and Impacts …
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