The Pulley Generator draws objects tied by string over pulleys, in four setups: an Atwood machine, with two masses hanging over one fixed pulley; a block or cart on a table, tied over a pulley at its edge to a hanging mass; a block or cart on a ramp, tied over a pulley at its top to a hanging mass; and a block and tackle, with 1 to 4 strands holding up a load. Strings are always drawn taut.
Turn on tension, gravity, the normal force and friction to draw the forces for a Newton’s second law problem, and an acceleration arrow for each object. Every label can be written, a blank line for students, or left off.
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Two masses hanging from one string over a fixed pulley. With a light string and a frictionless pulley, the heavier mass falls and the lighter one rises, both with acceleration a = (m₂ − m₁)g / (m₁ + m₂), where m₂ is the heavier mass.
With a light string over a light, frictionless pulley, the tension is the same all along the string, so every tension arrow has the same label. Change it to a blank line if students should work that out.
The load is held up by several strands of one rope, each pulling up with the same tension. With n strands holding the load, the effort at the free end is the load’s weight divided by n, ignoring friction and the pulleys’ weight, but the rope has to be pulled n times as far. That n is its ideal mechanical advantage.
Against the way the block slides or would slide. When the hanging mass pulls the block toward the pulley, friction points away from it. Choose Toward the pulley or Away from it.
Use the Free Body Diagram Generator, which draws one body with only the forces on it, like the tension and weight on the hanging mass.