A circular cylinder is being rotate as shown in the figure below with an axis of rotation going through point O perpendicular to the plane shown. The cylinder has dimensions of h = 17 cm, r = 3.1 cm and d = 16 cm. The cylinder has a density of \rhoρ = 7276 kg/m3. What is the object mass moment of inertia? (Enter your answer to the nearest thousandth kg·m2.)
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
A circular cylinder is being rotate as shown in the figure below with an axis of rotation going through point O perpendicular to the plane shown. The cylinder has dimensions of h = 17 cm, r = 3.1 cm and d = 16 cm. The cylinder has a density of \rhoρ = 7276 kg/m3. What is the object mass moment of inertia? (Enter your answer to the nearest thousandth kg·m2.)
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