Saw for cutting trees by motion of pendulum, is represented as…
Saw for cutting trees by motion of pendulum, is represented as cutting a lying tree.
Only the input is driven; every other part of this model moves by physics (MuJoCo), and its ratios are measured. Run it live, change its parameters, or switch the friction off to see the output stop.
Modelled as
The pendulum hangs from the top of a pair of shear-legs at the left, and a rod from it, 21.5 cm below the pivot, is pinned to the frame of a cross-cut saw. The saw slides crosswise in a carriage that hangs between the two posts of a frame over the log, and the carriage is held up by cords over pulleys at the post-heads to counterweights, so that its weight on the cut is nearly balanced. Swinging the pendulum (a quarter of a radian either way, 0.8 times a second) is the only driven motion: it stands for the workman's hand.
Measured
The saw strokes to and fro across the log, about 4.4 cm either way, 21.5 cm for every radian of the pendulum's swing, carried by the rod alone, while the carriage stays where it is with the saw's edge resting on the log.
Notes
Brown gives no sizes. The saw rests on the log and does not cut into it; the pulleys at the post-heads are drawn only and do not turn, the cords being taken over them as fixed rounds.