A circular merry-go-round has a child standing at its center. The child's parent gives the merry-go-round a push and sets it in motion going counter-clockwise at an angular velocity of w = 2.3 radians/s. The moment of inertia of the merry-go-round is 125 kg-m². The child has a mass of 40 kg. 44) The child walks from the center of the merry-go-round to its outer rim. If the radius of the merry-go-round is 1.5 m, what is the final angular speed of the merry-go-round when the child reaches the rim? O w = 0 rad/s w = 1.55 rad/s !! w = 1.69 rad/s w = 1.27 rad/s w = 1.34 rad/s 45) Suppose now that the child is standing at the rim of the merry-go- round holding a large ball of mass 9 kg. The merry-go-round is rotating with angular speed 2.7 rad/s. The child gently drops the ball off the edge of the merry-go-round. Which of the following statement is correct? The angular speed of the merry-go-round increases. The angular speed of the merry-go-round decreases. The angular speed of the merry-go-round remains the same.
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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