2. Jane (55.0 kg) and Tarzan (85.0 kg) are standing on opposite edges (4.50 m apart) of a merry-go- round and Cheetah (Tarzan's 25.0 kg pet chimpanzee) is sitting at the edge of the The merry-go- round. The merry-go-round itself has a moment of inertia of 225 kg-m´ and a diameter of 4.50 m. The merry-go-round is rotating at a rate of 0.867 rev/s just before Tarzan gave Jane a lustful wink (which Jane misinterpreted) and they walked toward each other. They met near the center o the merry-go-round such that their centers of mass were each only 10.0 cm from the axis of rev/s rotation. What is the new rotational speed of the merry-go-round? What was the rotational kinetic energy of the system before Tarzan and Jane walked toward each other? J What was the kinetic energy of the system when they met near the center of the merry-go-round? J Are the energies different? If so, explain where the energy came from/went to: Tarzan then makes a boneheaded move and touches Jane in an inappropriate way. Jane slaps Tarzan, screams, and jumps (radially) backward so she is 1.00 m from the rotation axis. This startles Cheetah (even though he's used to Tarzan's stupid antics) and the chimp jumps (radially) off of the merry-go-round. What is the new (post-scream) rotational speed of the merry-go-roum rev/s
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.
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