SAM is a complex form of Atwood’s Machine, having two degrees of freedom, in which two masses, m and M, are tied together with a string that passes over two massless & frictionless pulleys. When the lighter body, say m, is disturbed from its equilibrium position through an angle, it will perform perpetual and quasi-periodic oscillations given by the equations derived from the system’s Langrangian while M will perform vertical non-uniform oscillations such that the string retains its original length. In simulation, motion will start from desired values of 𝛍 and 𝛉, and the simulation will be terminated after a given interval of steps is completed.
We have used an online platform of GlowSript 3.0 VPython on trinket.io for simulation. Click here for simulation.
Further elements and properties for this simulation are described in the report.
- Research Paper : Swinging Atwood’s Machine: experimental and theoretical studies, O Pujola, J P P ́erezb, J P Ramisc, C Sim ́od, S Simone, J A Weil.
December, 2020
- github : @saad0510
- email : k200161@nu.edu.pk or ayyansaad46@gmail.com