How can I find the Kinetic Energy of an element based system?

The system has 5 elements, each element has different kinetic energy.
Some of the elements may have rotational movement at one end and different rectilinear motion at the other end. How can I combined the two?

add them up. energy is a scalar, so it adds easily.

Kinetic Energy in J if m is in kg and V is in m/s
KE = ½mV²

Angular kinetic energy K in Joules
K = ½Iω²
ω is angular velocity in radians/sec
I is moment of inertia
I = cMR²
M is mass, R is radius
c = 1 for a ring or cylinder
c = 2/5 solid sphere
C = 1/2 solid cylinder or disk around its center

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One Response to “How can I find the Kinetic Energy of an element based system?”

  1. billrussell42 Says:

    add them up. energy is a scalar, so it adds easily.

    Kinetic Energy in J if m is in kg and V is in m/s
    KE = ½mV²

    Angular kinetic energy K in Joules
    K = ½Iω²
    ω is angular velocity in radians/sec
    I is moment of inertia
    I = cMR²
    M is mass, R is radius
    c = 1 for a ring or cylinder
    c = 2/5 solid sphere
    C = 1/2 solid cylinder or disk around its center

    .
    References :

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