Two 2.00 kg balls are attached to the ends of a thin rod of length 50.0 cm and negligible mass.The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center.With the rod initially horizontal a 50.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 3.00 m/s and then sticking to it. (a)What is the angular speed of the system just after the putty wad hits? (b)What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle will the system rotate before it momentarily stops?
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.
Two 2.00 kg balls are attached to the ends of a
thin rod of length 50.0 cm and negligible
mass.The rod is free to rotate in
a vertical plane without friction
about a horizontal axis through its
center.With the rod initially horizontal
a 50.0 g wad of wet
putty drops onto one of the balls, hitting
it with a speed of 3.00 m/s and then sticking to it. (a)What is the
angular speed of the system just after the putty wad hits? (b)What is
the ratio of the kinetic energy of the system after the collision to that
of the putty wad just before? (c) Through what angle will the system
rotate before it momentarily stops?
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