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https://www.chegg.com/homework-help/questions-and-answers/problem-3-pendulum-free-support-mass-m-free-slide-along-horizontal-frictionless-rail-pendu-q25424119
Problem 3. Pendulum with a free support. A mass M is free to slide along a horizontal frictionless rail. A pendulum of mass m and length l hangs from M. Let x be the horizontal location of the mass M and let θ be angle of the pendulum measured from an axis that passes through M and points vertically downward.
https://www.myphysicslab.com/pendulum/moveable-pendulum-en.html
Physics-based simulation of a pendulum attached to a moveable support point or "anchor block". The support point is assumed to be so massive that it is not affected by the pendulum. You can drag the anchor block or pendulum with your mouse. Change parameters like gravity, pendulum …
http://www.phys.lsu.edu/faculty/gonzalez/Teaching/Phys7221/PendulumWithMovingSupport.pdf
A pendulum with a moving support point Gabriela Gonz´alez September 12, 2006 Consider a pendulum with mass m hanging from a rod of length l. The support point moves horizontally with a known function R(t) = X(t)ˆi + Y(t)ˆj. We can use the angle θ between the vertical and the pendulum rod as a generalized coordinate, the only one
https://math.stackexchange.com/questions/2011458/pendulum-with-moving-support
In that time the pendulum rotates through an angle $\Delta\theta$; let $\Delta t$ be small enough so that $\frac{\Delta\theta}{\Delta t} \approx \dot\theta$, and so that $\Delta\theta$ also is small enough to say that this rotation displaces the mass by a distance of approximately $\ell \Delta\theta$, approximately perpendicular to the pendulum ...
https://www.youtube.com/watch?v=dVnhZJGhR-c
Dec 02, 2013 · The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration uses Lagrangian mechanics to simulate a pendulum with an ...
http://www2.york.psu.edu/~kxt7/Labs/Hasan/Pendulum.pdf
the energy loss to friction and of course the concept of period of pendulum. It requires a force probe at the point of support, which is made free to rotate with the swinging of the pendulum and a position sensor to look at the motion of the pendulum bob. This experiment may be used as a final experiment to wrap up the study of mechanics.
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