A puck of mass m1=80.0 g and radius r1= 4 cm glides across an air table at a speed of v= 1.50 m/s . It makes a glancing collision with a second puck of radius r2= 6 cm and mass m2= 120g ( initially at rest ) such that their rims just touch. Because their rims are coated with instant acting glue, the pucks stick together and rotate after the collision Fig P11.36b. (a) What is the angular momentum of the system relative to the center of mass? (b) What is the angular speed about the center of mass?
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 puck of mass m1=80.0 g and radius r1= 4 cm glides across an air table at a speed of v= 1.50 m/s . It makes a glancing collision with a second puck of radius r2= 6 cm and mass m2= 120g ( initially at rest ) such that their rims just touch. Because their rims are coated with instant acting glue, the pucks stick together and rotate after the collision Fig P11.36b.
(a) What is the
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