Single-pulley systems |
Brenner's version is an update of that written by Tara Dooley, for what it's worth. Dooley's version wasn't that well written, concentrating on the length of the ropes needed for multiple-pulley systems rather than the force enhancement. Then again, the change in "length of pull" is a proxy for force increase.
Brenner, however, had her own problems. Let's look at her initial description of a pulley:
"A single pulley hanging from a ceiling with a rope wrapped around its wheel allows you to lift a box on the floor up to a table or higher using only half the force it would take to lift it with your hands."Wrong: a fixed single pulley has a mechanical advantage of 1; meaning that the force on the "pull" rope is equal to the downward force of the load. Oops. Needing "half the force" would require a mechanical advantage of 2; which can be attained with a single pulley only if the pulley moves up and down with the load (see image [b] above). In that case, the direction of the force applied is the same as the movement of the load, which is generally unacceptable.
Brenner muddies the waters even more in attempting to explain multiple-pulley systems when she says,
"While a single pulley allows you to move a load with half the force required, a system of pulleys increases the mechanical advantage by the number of pulleys and [bolding ours] the lengths of rope that support the load."Wrong again, mainly because the word "and" (highlighted) makes it ambiguous. Brenner's next statement,
"The number of rope strands that support the load in a multiple pulley system basically correspond [sic] to the mechanical advantage of the system..."
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