   Chapter 8, Problem 60P

Chapter
Section
Textbook Problem

Each of the following objects has a radius of 0.180 m and a mass of 2.40 kg, and each rotates about an axis through its center (as in Table 8.1) with an angular speed of 35.0 rad/s. Find the magnitude of the angular momentum of each object (a) a hoop (b) a solid cylinder (c) a solid sphere (d) a hollow spherical shell

(a)

To determine
The magnitude of angular momentum of a hoop.

Explanation

Given info: The mass of the hoop is 240kg, radius of the hoop is 0.180m, and the angular speed of 35.0rad/s.

Explanation: The magnitude of angular momentum is L=Iω and the moment of inertia of the hoop is I=MR2. Using these two expressions, the magnitude of angular momentum is calculated.

The formula for the magnitude of angular momentum is,

L=MR2ω

• M is mass of the hoop.
• R is radius of the hoop.
• ω is angular speed of the hoop.

Substitute 240kg for M, 0.180m for R, and 35.0rad/s for ω to find L.

Thus, the magnitude of angular momentum of a hoop is 2.72kgm2/s. Explanation: The magnitude of angular momentum is L=Iω and the moment of inertia of the hoop is I=MR2

(b)

To determine
The magnitude of angular momentum of a solid cylinder.

(c)

To determine
The magnitude of angular momentum of a solid sphere.

(d)

To determine
The magnitude of angular momentum of a hollow spherical shell.

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