A block of m = 2.00 kg hangs from a string that passes over a pulley with a moment of inertia / (to be determined) and a radius R = 0.44 m. The system of block and pulley is released from rest when the block is 5.00 m above the floor. It takes t = 1.17 s for the block to reach the floor. As the block accelerates downward, the pulley undergoes a counterclockwise angular acceleration. Using Newton's Laws (for linear and rotational motion), determine the moment of inertia I of the pulley. (Consider the linear acceleration of the block (from kinematics), the tension in the string, and the torque on the pulley. Careful with (+/-) directions} O 0.166 kg m2 O 0.144 kg m² O 0.132 kg m2 O 0.173 kg m2 O 0.149 kg m2
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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