An air puck of mass m1 = 0.27 kg is tied to a string and allowed to revolve in a circle of radius R = 1.1 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 0.8 kg is tied to it (see the figure below). The suspended mass remains in equilibrium while the puck on the tabletop revolves. An overhead view of a table is shown. A string is used to whirl a puck of mass m1counterclockwise with velocity vector v on a horizontal circular path of radius R on the surface of the table. The string passes through a hole at the center of the circular path, and then extends down under the table where an object of mass m2 is attached. (a) What is the tension in the string (in N)? N (b) What is the horizontal force acting on the puck (in N)? N (c) What is the speed of the puck (in m/s)? m/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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