You can model the Merry-Go-Round as a solid disk with a radius of 3.00 m and a mass of 75.5 kg. Initially the Merry-Go-Round has an angular velocity 7.90 radians / second. Then the person jumps on and change the Moment of Inertia of the system. The person lands on the outer edge of the Merry-Go-Round and has a mass of 60.0 kg.
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.
![Conservation of Angular Momentum
An example of conservation of angular momentum is jumping on a Merry-Go-Round.
Watch this video (it starts part way through but the only thing you miss is the people
pushing the Merry-Go-Round) to see someone jumping on a Merry-Gr-Round in
motion like this problem.
You can model the Merry-Go-Round as a solid disk with a radius of 3.00 m and a
mass of 75.5 kg. Initially the Merry-Go-Round has an angular velocity 7.90 radians /
second.
Then the person jumps on and change the Moment of Inertia of the system. The
person lands on the outer edge of the Merry-Go-Round and has a mass of 60.0 kg.
What is the final angular velocity of the system after the person jumps on?
You can treat the person that jumps on a point mass (which means they are
significantly smaller than the radius of the Merry-Go-Round) for this problem.
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
99+
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