A rod of length l=0.8m and mass M= 3.5kg joins two particles with masses m, =3.6kg and m2 = 3.2kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod with the linear speed of the masses of v= 3.4 m/s. (Moment of iner of a uniform rod rotating about its center of mass I= a) Calculate the total moment of inertia of the system I = kg m 2 b) What is the magnitude of the angular momentum about the origin? L= |kg m2 /s c)If the length of the rod reduces to l=0.6m. What will be the final angular speed wf? Trad(e
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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