You may be sorry that you asked since it is not really a simple matter. In fact, the experts don't completely agree on the details. For the most part, 3 theoretical sweet spots have been identified for tennis racquets, baseball & cricket bats, swords, etc. Note that all 3 sweet spots are independent of each other and are usually located in different areas.
One of the so-called sweet spots is the
COP =
center of percussion. The COP is that spot (or area) on the stringbed that produces little to no shock in your arm or hand on impact with the ball. It is generally located somewhere near the center of the stringbed, on the center axis of the racquet.
Note, however, the least shock doesn't necessarily mean the minimum vibration. Minimal vibration occurs at the (vibration)
node of the first harmonic (aka, the node of the fundamental vibrational mode). When a ball hits the node, you don't feel any vibration in your hand. When it hits the COP, your hand doesn't feel any force pushing against it.
wiki.answers.com/Q/What_is_the_sweet_spot
A racquet or a bat that has struck a ball will vibrate in a complex manner, much like a piano string that is struck when a key is depressed. Take a look at the following page to get an idea of the vibrational modes:
kettering.edu/~drussell/bats-new/bend-sweet.html
Note that one of the sweetspots (above) are not always the best places to contact the ball for maximum power transfer. For a volley, one of these sweetspots may be ideal. However for the serve (or overhead), a spot somewhat higher in the stringbed will produce a faster ball speed. The place where the ball will rebound with the greatest speed is the area with the [FONT=verdana, geneva, helvetica]
highest coefficient of restitution.[/FONT]
Some sources also refer to a
center of oscillation, the area on the string bed where the racquet's bounce is maximized. On the other hand, other sources indicate the center of oscillation and COP are equivalent.
illumin.usc.edu/article.php?articleID=152
What is the sweet spot on a tennis racquet?
Tennis Warehouse University articles:
twu.tennis-warehouse.com/learning_center/maxshotspeed.html
twu.tennis-warehouse.com/learning_center/PPandspeed.html
Futher reading -- more about COP and sweetspots:
www.exploratorium.edu/baseball/sweetspot.html
www.kettering.edu/~drussell/bats-new/sweetspot.html
www.kettering.edu/~drussell/bats-new/cop.html
Center of Percussion (Harvard)
.