three rotating, uniform disks that are coupled by belts. One belt runs around the rims of disks AandC.Another belt runs around a central hub on disk A and the rim of disk B. The belts move smoothly without slippage on the rims and hub. Disk Ahas radius R; its hub has radius 0.5000R; disk B has radius 0.2500R; and disk C has radius 2.000R. Disks B and C have the same density (mass per unit volume) and thickness.What is the ratio of the magnitude of the angular momentum of disk Cto that of diskB?
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.
three rotating, uniform disks that are coupled
by belts. One belt runs around the rims of disks AandC.Another
belt runs around a central hub on disk A and the rim of disk B. The
belts move smoothly without slippage on the rims and hub. Disk Ahas
radius R; its hub has radius 0.5000R; disk B has radius 0.2500R; and
disk C has radius 2.000R. Disks B and C have the same density (mass
per unit volume) and thickness.What is the ratio of the magnitude of
the
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