What is the Angular Momentum of a Bent Plate Rotating at 30rad/sec?

In summary, the problem involves determining the angular momentum of a bent plate revolving around the z-axis at a rate of 30rad/sec, with a mass of 70kg per square meter of surface area. The parallel axis theorem is used to move the moments of inertia from centroidal points to the axis of rotation, and the final step is to calculate the angular momentum. The poster is confused about the difference between calculating for a point and an axis.
  • #1
max1546
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0

Homework Statement


The bent plate has a mass of 70kg per square meter of surface area and revolves about the z-axis at the rate w=30rad/sec. Determine the angular momentum H of the plate about the z-axis. (Neglect the mass of the hub and the thickness of the plate)

http://img839.imageshack.us/img839/9853/angularmomentum.jpg

Homework Equations


w=w k
HG=-Izzwzi-Izywzj+Izwzk


The Attempt at a Solution


Splitting the bodies into various parts and calculating. However, as it is about the axis, and not the point, confused.
 
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  • #2
You would use the parallel axis theorem to move the moments of inertia from centroidal points to the axis of rotation. Then determine the angular momentum.
 
  • #3
Show us what you actually did. It's hard to figure out what's confusing you if all you give us is a vague description of what you tried.
 

1. What is angular momentum?

Angular momentum is a measure of the rotation of an object around an axis. It is defined as the product of an object's moment of inertia and its angular velocity.

2. How is angular momentum of plates calculated?

The angular momentum of plates can be calculated using the equation L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

3. What factors affect the angular momentum of plates?

The angular momentum of plates is affected by the mass, shape, and distribution of mass of the plates, as well as the angular velocity and the axis of rotation.

4. How is angular momentum conserved in a system of plates?

According to the law of conservation of angular momentum, the total angular momentum of a system remains constant, as long as no external torque is applied. This means that the angular momentum of plates in a system will not change unless a torque is applied to them.

5. What are some real-world applications of angular momentum of plates?

Angular momentum of plates is used in various industries, such as aerospace and automotive, to understand the dynamics of rotating systems. It is also important in the study of celestial bodies, such as planets and stars, and their movement around their axes.

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