The object shown in the figure below consists of a thin rod of length - 22.1 cm and mass m - 1.20 kg with a solid ball of diameter d - 10.0 cm and mass M - 2.00 kg attached to its top. The object is free to pivot about a frictionless axle through the bottom of the rod. The obje initially vertical and at rest when it starts to rotate clockwise. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? (b) What is the angular speed (in rad/s) of the rod and ball? rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? m/s (d) How does it compare with the speed had the ball fallen freely through the same distance 27.1 cm? (Express your answer as a percentage.) Vswing is -Select-- v VN by
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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