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III. Rotational Inertia a. Students should develop a qualitative understanding of rotational inertia so they can: (1) Determine by inspection which of a set of symmetric bodies of equal mass has the greatest rotational inertia. (2) Determine by what factor a body’s rotational inertia changes if all its dimensions are increased by the same ...
Inertia is our measure of how difficult it is to change an object’s motion. For straight-line motion, an object’s inertia is given by its mass. For rotational motion the rotational inertia. depends on mass, how the mass is distributed, and even on what axis the object is rotating about.
Learning Objectives. By the end of this section, you will be able to: Understand the relationship between force, mass and acceleration. Study the turning effect of force. Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration.
Learning Objectives. By the end of this section, you will be able to: Understand the relationship between force, mass and acceleration. Study the turning effect of force. Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration.
2 Αυγ 2023 · Moment of inertia, also known as rotational inertia or angular mass, is a physical quantity that resists a rigid body’s rotational motion. It is analogous to mass in translational motion. It determines the torque required to rotate an object by a given angular acceleration.
Start with the definition of the moment of inertia and substitute density times volume (ρ dV) for mass (dm). The infinitesimal volume is the surface area of a cylindrical shell (2πrh) times its infinitesimal thickness (dr). The density of a uniform cylinder is its total mass (M) divided by its total volume (πR2h).
Summary. Understand the relationship between force, mass and acceleration. Study the turning effect of force. Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration.
