You and a friend are playing with a Merry-Go-Round in a park. You measure it and it has an outer radius of 1.70 m and can be modeled as a solid disk. You ask a maintenance person in the park and they say it has a mass of 105.0 kg. Now you start pushing the Merry-Go-Round to get it moving - you can see a video example of this here. (Merry-Go-Round in a park). The video illustrates the idea of the motion - please do NOT use it for numerical values. After the Merry-Go-Round is moving, it has an initial angular velocity of 33.0 rad/s. After a few seconds you notice that it is slowing down. When you look under the Merry-Go-Round, you notice that it has a branch underneath it, creating friction and slowing it. This branch is applying 71.0 N of force at a distance of 0.40 m from the axis of rotation. You can assume this is being applied perpendicular to the radial direction. What is the angular velocity of Merry-Go-Round after 9.86 s of the branch slowing it down? Your answer should have the following: 2 Decimal Places Correct SI Units Appropriate Signs for Vector quantity answers Answers must be in the following format: Written out and NOT in scientific notation Acceptable: 278.40 Not Acceptable: 2.784 x 102 Your Answer: Answer units
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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