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IMHO, there is only one KE of a system, and it is defined by:
the sum (integral) on all the system of the products mass X velocity^2 of
every point of mass of the system.
Therefore:
If the system is translating (ie every point of mass has the same vectorial
speed) then to compute its KE it is easier to use 1/2*M*V*V. And if it
rotates, you can use 1/2*I*W*W.
If the system is composed of subsystems, you can compute the KE of each
subsystem. The KE of the system is the sum of the KE of each subsystem.
If you split the movement of the system in a part of translation of CoG and
a rotation around the CoG, you can compute separately the KE of the
translation and the KE of the rotation, and add both to find the KE of the
whole system.
If the system translates at a speed, which has components in the three
directions x,y,z (vx, vy, vz) then you can compute the KE of each component,
and then add them: KE=KEx+KEy+KEz.
Patrick
Patrick Maillard
Institut de Recherches Robert BOSCH SA
PO BOX 12, Route de Denges 2
CH-1027 LONAY, SWITZERLAND
phone: ++41 21 804 72 17
fax: ++41 21 804 72 05
e-mail: Patrick.Maillard@ch.bosch.com
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the sum (integral) on all the system of the products mass X velocity^2 of
every point of mass of the system.
Therefore:
If the system is translating (ie every point of mass has the same vectorial
speed) then to compute its KE it is easier to use 1/2*M*V*V. And if it
rotates, you can use 1/2*I*W*W.
If the system is composed of subsystems, you can compute the KE of each
subsystem. The KE of the system is the sum of the KE of each subsystem.
If you split the movement of the system in a part of translation of CoG and
a rotation around the CoG, you can compute separately the KE of the
translation and the KE of the rotation, and add both to find the KE of the
whole system.
If the system translates at a speed, which has components in the three
directions x,y,z (vx, vy, vz) then you can compute the KE of each component,
and then add them: KE=KEx+KEy+KEz.
Patrick
Patrick Maillard
Institut de Recherches Robert BOSCH SA
PO BOX 12, Route de Denges 2
CH-1027 LONAY, SWITZERLAND
phone: ++41 21 804 72 17
fax: ++41 21 804 72 05
e-mail: Patrick.Maillard@ch.bosch.com
---------------------------------------------------------------
To unsubscribe send SIGNOFF BIOMCH-L to LISTSERV@nic.surfnet.nl
For information and archives: http://isb.ri.ccf.org/biomch-l
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