Two objects are connected to a rope, and the rope is hung over a pulley connected to the ceiling, as shown in the figure below. MR The masses of the objects are m, = 16.0 kg and m, = 11.0 kg, the mass of the pulley is M = 5.00 kg, and the radius of the pulley is R = 0.100 m. Object m, is initially on the floor, and object m, is initially 4.90 m above the floor when it is released from rest. The pulley's axis has negligible friction. The mass of the rope is small enough to be ignored, and the rope does not slip on the pulley, nor does it stretch. (a) How much time (in s) does it take object m, to hit the floor after being released? At, = (b) How would your answer to part (a) change if the mass of the pulley were neglected? (Enter the time, in seconds, it takes object m, to hit the floor if the mass of the pulley were neglected.) At, =
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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