Analytical mechanics for students of physics and engineering . On the other handif the motion about the center of mass is destroyed the angu-lar momentum about a given axis due to the motion of theparticles of the body with the center of mass is not other words motion about the center of mass and motion withthe center of mass are distinct and independent* As an illustration of this importantfact consider two disks, Fig. 124, of equalmass, radius, and thickness, which haveequal and opposite angular velocitiesabout a common axle, and which movewith the axle in a direction perpendicula


Analytical mechanics for students of physics and engineering . On the other handif the motion about the center of mass is destroyed the angu-lar momentum about a given axis due to the motion of theparticles of the body with the center of mass is not other words motion about the center of mass and motion withthe center of mass are distinct and independent* As an illustration of this importantfact consider two disks, Fig. 124, of equalmass, radius, and thickness, which haveequal and opposite angular velocitiesabout a common axle, and which movewith the axle in a direction perpendicularto it. Suppose each of the disks to havetwo similarly placed holes, as shown inthe figure, so that they can be made onesolid piece by dropping a pin in each pairof holes when they are in line. If therotational motion is stopped by droppingthe pins into the holes, the motion of theaxle goes on as if aotbing had the other hand if the motion with theaxle is changed or even stopped, the rotations of the disks about the axleare not at all Fig. 124. This result holds true for all bodies and systems, whether rigid or not. 274 ANALYTICAL MECHANICS


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Keywords: ., bookcentury1900, bookdecade1910, bookpublishernewyo, bookyear1913