Center of mass

# Center of mass - Center of mass The motion of a rotating ax...

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Center of mass The motion of a rotating ax thrown between two jugglers looks rather complicated, and very different from the standard projectile motion discussed in Chapter 4. Experiments have shown that one point of the ax follows a trajectory described by the standard equations of motion of a projectile. This special point is called the center of mass of the ax. The position of the center of mass of a system of two particles with mass m 1 and m 2 , located at position x 1 and x 2 , respectively, is defined as Since we are free to define our coordinate system in whatever way is convenient, we can define the origin of our coordinate system to coincide with the left most object (see Figure 9.1). The position of the center of mass is now Figure 9.1. Position of the center of mass in 1 dimension. This equation shows that the center of mass lies between the two masses, closest to the heavier mass. In general, for a system with more than two particles, the position of the center of mass will satisfy the following relation

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## Center of mass - Center of mass The motion of a rotating ax...

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