![]() ![]() Let’s take consideration of a physical body that has a mass of m. We defined the moment of inertia I of an object to be for all the point masses that make up the object. We denote the Mass Moment of Inertia by I Because r is the distance to the axis of rotation from each piece of mass that makes up the object, the moment. ![]() The Mass Moment of Inertia of the physical object is expressible as the sum of Products of the mass and square of its perpendicular distance through the point that is fixed (A point which causes the moment about the axis passing through it). dm (2rdr)L Now, the dm expression is further substituted into the dI equation and we get (3) Conversely, we must also find the expression for density. for all the point masses that make up the object. We will use the coordinate formula rem-ec. Suppose a body of mass m is rotated about an axis z passing through the bodys center of mass.The body has a moment of inertia I cm with respect to this axis. The physical object is made of the small particles. What is the moment of inertia about the z z -axis through the center of mass C C. This is because it is the resistance to the rotation that the gravity causes. The Mass Moment of Inertia represents a bodys resistance to angular accelerations about an axis, just as mass represents a bodys resistance to linear. We can measure the moment of inertia by using a simple pendulum. ![]()
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