Block And Tackle - The PjProblemStrings

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{3}A_{32} Base Sequence = 12735 String Sequence = 12735 - 3 - 31**

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Block And Tackle - The PjProblemStrings

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Figure 130.1 is a basic combination of a type of simple machines.

(a) What type of simple machine is illustrated in figure 130.1?

(b) What is the theoretical mechanical advantage of the machine illustrated in figure 130.1

(c) Write the PjProblemStrings at play with respect to figure 130.1?

**The strings**:
S_{7}P_{3}A_{31} (Force-Pull).
**The math**:

Pj Problem of Interest is of type *force* (pull).

(a) The machine illustrated in figure 130.1 is a *luff upon luff* which is a basic combination of *blocks and tackle* (pulleys).

Pulleys are either fixed or movable. Fixed pulleys help change direction of effort while movable pulley help multiply the effort.

(b) The *theoretical mechanical advantage* (T.M.A) ignores the effect of *friction*. TMA = distance effort moves/distance resistance moves = Resistance/effort.

So, for the machine in figure 130.1:

1200 lbs load is supported by three *falls* running from *block A*.

So, each part supports 1/3 of the load = 400 lbs
*Block B* which has a 400 lb pull on it is supported by four *falls*

So, each part supports 1/4 of the load = 100 lbs

So, mechanical advantage = 1200/100 = 12.

That is a 100 lb *pull* applied to the *luff and luff* hauled a 1200 lb load.

(c) Assuming a multi-matter-multi-dynamic space (S_{7}) because of the dynamism of atoms of materials and the fact that there are several matter in the space.

Forces at play of type *pull*. PjProblemStrings S_{7}P_{3}A_{31}

Motion at play, *linear*. PjProblemStrings S_{7}P_{4}A_{41}

static equilibrium at fixed pulley. PjProblemStrings S_{7}P_{7}A_{71}

Dynamic equilibrium at movable pulley. PjProblemStrings S_{7}P_{7}A_{72}

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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