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Answer to Quiz No. 1
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Answer:
No, the spool will not roll as shown, because the radius from it's centerline
to the outer layer of cable is less than the outside radius of the flanges. Imagine the spool rolling through
90 degrees from its present position. If 90 degree arcs for the cable and flanges are laid out parallel to
the ramp, it can be seen that the resulting centerline positions of the spool at the end of each arc are not
in the same place along the ramp.
If the spool was full of cable, then the radii would be the same and
the spool would start to roll when the chock was removed. As the radius of the cable decreased due to cable
being payed out, the spool would come to a stop on the ramp. This is assuming that the safe working load of
the cable and the back stop were strong enough to resist the resulting momentum of the spool.
Note
that neither the weight of the spool and cable nor the angle of the ramp have anything to do with whether
the spool will roll or not.
To prove to your self that the spool will not roll, place a reel of cable,
a spool of electrical wire, or a yo-yo on a flat surface and start to slowly unwind it. Note that as the spool
is unwinding, the end of the cable/string is slowly following along behind the spool. If someone stands on the
end of the cable, the flanges on the spool have to be slipped in order to continue unwinding the cable.
Maximum Reach Enterprises
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