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Figure 131.1 illustrates a brace with a screwdriver bit driving a screw. This machine belongs to the class of simple machines called the wheel and axle. Some common members of this group are the doorknob and the steering wheel of automobiles.
(a) Physicists say, the wheel and axle is a type of lever. What type of lever is the brace and bit of figure 131.1 ?
(b) What is the theoretical mechanical advantage of the brace and bit of figure 131.1?
(c) Write the PjProblemStrings at play with respect to the brace and bit of figure 131.1?
The strings:
S7P3A32 (Force-Push).
The math:
Pj Problem of Interest is of type force (push).
(a) The machine illustrated in figure 131.1 is a second class lever. The resistance is between the fulcrum and the effort as indicated the the top view illustration (131.1B).
Notable: a wheel and axle has the axle rigidly attached to the wheel and the axle rotates with the wheel.
(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 131.1:
T.M.A = 5/(1/4) = 20.
The ratio of the diameters of the circumferences of the wheel and axle indicates the mechanical advantage.
(c) Assuming a multi-matter-multi-dynamic space (S7) because of the dynamism of atoms of materials and the fact that there are several matter in the space.
Forces at play of type push. PjProblemStrings S7P3A32
Motion at play, rotational. PjProblemStrings S7P4A42
static equilibrium at the fulcrum. PjProblemStrings S7P7A71
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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