In: Physics
Please Summarize the follwing article (this is for a presentation)
"When you release a yo-yo, gravity acts on its center of mass to
pull the yo-yo downward. Because the string of the yo-yo is wrapped
around the yo-yo's axle, and because one end of the string is
attached to your finger, the yo-yo is forced to rotate as it drops.
If the yo-yo could not rotate, it would not drop.
Just as any object falling in a gravitational field, the rate of
drop increases with time and so, necessarily, does the rotation
rate of the yo-yo. The rate of drop and the rotation rate are
greatest when the bottom is reached and the string is completely
unwound. The spinning yo-yo contains angular momentum (or
rotational kinetic energy) derived from the gravitataion potential
energy through which the yo-yo has dropped.
Usually, the string is tied loosely around the axle so that the
yo-yo can continue to spin at the bottom. Because the full length
of the string has been paid out, the yo-yo can drop no further and,
consequently, the rotation rate cannot increase further. If left in
this condition, the friction between the axle and the string will
eventually dissipate the energy of rotation or, equivalently, the
angular momentum of the yo-yo and the yo-yo will come to
rest.
However, a momentary tug on the string causes the friction between
the string and the axle briefly to increase so that the axle no
longer slips within the string. When the axle thus stops slipping,
the angular momentum of the spinning yo-yo is sufficient to cause
the string to wind around the axle. This, of necessity, causes the
yo-yo to begin to 'climb' back up the string. After the first one
or two rotations, the string can no longer slip, so the process of
climbing up the string continues beyond the momentary application
of the tug.
As the yo-yo continues to climb back up the string, the angular
momentum (or kinetic energy of rotation) of the yo-yo is converted
back into gravitational potential corresponding to the increasing
height of the center of mass of the yo-yo. For this reason, the
yo-yo's angular momentum and, hence, its rotation rate, steadily
decreases as the yo-yo rises. This is, of course, the reverse of
the process when the yo-yo was dropped.
If not for frictional losses, the yo-yo would climb all the way
back up the string to your hand just as its rotational rate
decreases to zero. But, due to friction, the yo-yo does not in fact
quite get back up to your hand before it stops rotating.
Thereafter, the process repeats, with the yo-yo returning short of
its previous height on each cycle. Eventually, the yo-yo comes to
rest at the bottom.
Of course, as everyone knows, it is possible to keep the yo-yo
going indefinitely by giving it a slight upward pull on each cycle.
This pull can be combined with the tug required to initiate the
climb back up the string. The pull serves to give the center of
mass of the yo-yo a little extra kinetic energy to compensate for
frictional losses, so that the yo-yo can be kept going
indefinitely.
Yo-yos can also be thrown horizontally, or launched in other
directions. The principle of operation is then just the same except
that the kinetic energy of the center of mass, which is converted
into spin as the string unwinds, results from being thrown, rather
than from falling through a gravitational potential."
The yo-yo works in the priciple of conversion of graviatational potential enerry to rotational kinetic energy and vice versa.
While the yo-yo is moving downwards, the decrease in gravitational potential energy is converted to the rotational kinetic energy which is why the yo-yo begins to rotate fast as it moves downwards. At the lowest point, the change in gravitational potential is maximum and so is the rotaion. Now as at the lowest point, the string is tightened, all rotational energy is lost due to friction with the string as the string becomes tighten.
But if a slight upward tug is given, it along with the rotational energy overcomes the gravitational attraction and climbes upwards. So now the rotational kinetic energy is converted to gravitational potential energy and thus the rotations of yo-yo slows down. If there would have been no friction between the sting and yo-yo, it would climb all the way back.
To overcome this loss, we give a tug every time the yo-yo is at lowest point, so as to rotate the yo-yo indefinitely.