Statement of the law, with derivation of differential equation for mass on a spring.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Hooke's Law
Definition of Hooke's law describing restoring force applied by a spring; spring constant of a coil spring; springs in parallel and series.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Stretching of a spring due to hanging masses.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Sinusoidal motion of mass on a spring proven through demo and differential equation; ω and T determined.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Sinusoidal Motion
Calculation of x(t) from initial conditions for mass on a spring.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Mass on a Spring Example
Period of spring depends on mass but not amplitude; proven by calculation and demo.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Hooke's Law Demonstration
Dependence of T on L, g for pendulum; m, k for spring explained qualitatively.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Spring and Pendulum Comparison
Proof that dU/dx=-F using mass on a spring; statement in 3D; application to gravity.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Force and Potential Energy
Derivation of differential equation for SHM from conservation of energy in a spring.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Simple Harmonic Motion from Energy Conservation
Kinetic and potential energy in spring at equilibrium and at x_{max}, using conservation.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Energy in a Spring
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Definition and properties of simple harmonic motion; mass-spring systems; energy in simple harmonic motions, with examples.
Definition and properties of simple harmonic motion; mass-spring systems; energy in simple harmonic motions, with examples; table of equations for simple harmonic motion.
Modeling the motion of a block-spring system using Newton's second law and conservation of mechanical energy.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Harmonic oscillator experiment setup and procedure.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Momentum and kinetic energy of a baseball bat; simple harmonic motion of two mass-spring systems.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Period, acceleration, and amplitude of harmonic motion of mass-spring systems.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Velocity of a mass in an oscillating mass-spring system.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Concept questions about elastic and inelastic collisions between two or more bodies; some questions involve mass-spring systems.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Finding the spring constant of a spring; finding the radius of an object in uniform circular motion.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Fitting data from Experiment 4.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Oscillation of a mass on a spring.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Motion of an oscillating mass on a spring, before and after colliding with a lump of putty.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
3-part mass on a spring problem; calculating x for all t, finding v, a, energy for turning point and equilibrium.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Motion of a mass oscillating on a spring.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Oscillation of a cart connected to a spring on an inclined plane.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Finding maximum extension, time to maximum velocity for spring extended on frictional surface.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Maximum length of cord to protect jumper; distance to water from spring constant.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Masses m and 3m are connected by spring; finding energy, velocity, period of oscillations.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Finding the spring constant of a spring from the maximum height of a ball shot by the spring.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Inelastic collision of a clay ball with a block connected to a spring.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Motion of two masses, each connected to a different spring.
Course Material Related to This Topic:
Harmonic motion of a mass connected to a spring.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Finding ω, T, f for nut revolving around axis on end of a rubber band.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
4-part problem; finding compression necessary to launch pen into orbit; speed and radius in orbit.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
For inelastic collision, finding initial and final velocities and pendulum attributes.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
Inelastic collision involving an oscillating mass attached to a spring.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
5-part problem involving Hooke's Law, friction, and conservation of energy.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic: