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The ideal Atwood machine consists of two objects of mass m 1 and m 2, connected by an inextensible massless string over an ideal massless pulley. [1] Both masses experience uniform acceleration. When m 1 = m 2, the machine is in neutral equilibrium regardless of the position of the weights.
The smaller mass, labelled m, is allowed to swing freely whereas the larger mass, M, can only move up and down. Assume the pivots to be points. The swinging Atwood's machine (SAM) is a mechanism that resembles a simple Atwood's machine except that one of the masses is allowed to swing in a two-dimensional plane, producing a dynamical system ...
In another example, suppose that two bodies A and B having masses and , respectively, are connected with each other by an inextensible string over a frictionless pulley. There are two forces acting on the body A: its weight ( w 1 = m 1 g {\displaystyle w_{1}=m_{1}g} ) pulling down, and the tension T {\displaystyle T} in the string pulling up.
A single movable pulley has an MA of 2 (assuming frictionless bearings in the pulley). Consider a pulley attached to a weight being lifted. A rope passes around it, with one end attached to a fixed point above, e.g. a barn roof rafter, and a pulling force is applied upward to the other end with the two lengths parallel.
The velocity v of the chain or belt is the same when in contact with the two sprockets or pulleys: = =, where the input sprocket or pulley A meshes with the chain or belt along the pitch radius r A and the output sprocket or pulley B meshes with this chain or belt along the pitch radius r B,
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