a.)In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily rotating about its vertical axis. Its surface slopes downward toward the outside, making an angle of 18.0° with the horizontal. A suitcase having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the axis of rotation. The suitcase goes around once in 38.5 s. Calculate the force of static friction exerted by the carousel on the suitcase. (Give the magnitude of your answer in N.) b.)The speed of the carousel is adjusted to have a higher constant rotation rate, so that it now makes full rotation every 31.5 s, and the suitcase is bumped to another position, 7.94 m from the axis of rotation. The suitcase is now on the verge of slipping down the sloped surface. Calculate the coefficient of static friction between the suitcase and the carousel.
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.
a.)In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily rotating about its vertical axis. Its surface slopes downward toward the outside, making an angle of 18.0° with the horizontal. A suitcase having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the axis of rotation. The suitcase goes around once in 38.5 s. Calculate the
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