A cylindrical rod of length 2.0 m, radius 0.5 m, and mass 1.9 kg has two spheres attached on its ends. The centers of the spheres are 1.0 m from the center of the rod. The mass of each sphere is 0.62 kg. The rod is capable of rotating about an axis passing through its center and perpendicular to the plane of the page, but the set up is stationary to begin with. A small mass of value 0.23 kg moving with a velocity v2.1 m/s strikes the bottom mass of the dumbbell and sticks to it. At the same instant, a second mass of equal value but moving with twice the veloci strikes the top mass of the dumbbell and sticks to it. The entire system starts to rotate. Determine the magnitude and direction of the angular velocity of the system after the collision. Treat the two moving masses and the masses at the end of the rod like point particles. magnitude rad/s direction -Select
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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