In your job as a mechanical engineer you are designing a flywheel and clutch-plate system like the one in (Figure 1). Disk A is made of a lighter material than disk B, and the moment of inertia of disk A about the shaft is one-third that of disk B. The moment of inertia of the shaft is negligible. With the clutch disconnected, A is brought up to an angular speed wo: B is initially at rest. The accelerating torque is then removed from A. and A is coupled to B. (Ignore bearing friction.) The design specifications allow for a maximum of 3100 J of thermal energy to be developed when the connection is made. Figure < 1 of 1 > BEFORE I -F and thus ex notongue about this asi on L AFTER Part A What can be the maximum value of the original kinetic energy of disk A so as not to exceed the maximum allowed value of the thermal energy? Express your answer with the appropriate units. ºμÀ 6 ? KA= Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 19 attempts remaining Provide Feedback
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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