978-0073398242 Chapter 18 Solution Manual Part 1

subject Type Homework Help
subject Pages 9
subject Words 1370
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

Unlock document.

This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
CHAPTER 18
page-pf3
PROBLEM 18.1
A thin, homogeneous disk of mass m and radius r spins at the constant
rate 1
about an axle held by a fork-ended vertical rod, which rotates at
the constant rate 2.
Determine the angular momentum G
H of the disk
about its mass center G.
page-pf4
PROBLEM 18.2
A thin rectangular plate of weight 15 lb rotates about its vertical
diagonal AB with an angular velocity
. Knowing that the z axis is
perpendicular to the plate and that
is constant and equal to 5 rad/s,
determine the angular momentum of the plate about its mass center G.
page-pf5
PROBLEM 18.2 (Continued)
Components along x and y axes:
34 3 4

G Hij
page-pf6
PROBLEM 18.3
Two uniform rods AB and CE, each of weight 3 lb and length
2 ft, are welded to each other at their midpoints. Knowing that
this assembly has an angular velocity of constant magnitude
12 rad/s, determine the magnitude and direction of the
angular momentum HD of the assembly about D.
page-pf7
PROBLEM 18.4
A homogeneous disk of weight 6lbW rotates at the constant
rate 116
rad/s with respect to arm ABC, which is welded to
a shaft DCE rotating at the constant rate 28 rad/s.
Determine the angular momentum A
H of the disk about its
center A.
page-pf8
PROBLEM 18.5
A thin disk of mass
4kgm
rotates at the constant rate
215 rad/s
with respect to arm ABC, which itself rotates at the constant rate
15rad/s
about the y axis. Determine the angular momentum of the
disk about its center C.
page-pf9
PROBLEM 18.6
A solid rectangular parallelepiped of mass m has a square base of side a
and a length 2a. Knowing that it rotates at the constant rate
about its
diagonal
A
C
and that its rotation is observed from A as
counterclockwise, determine (a) the magnitude of the angular
momentum G
H of the parallelepiped about its mass center G, (b) the
angle that G
H forms with the diagonal .
A
C
page-pfa
PROBLEM 18.7
Solve Problem 18.6, assuming that the solid rectangular parallelepiped
has been replaced by a hollow one consisting of six thin metal plates
welded together.
PROBLEM 18.6 A solid rectangular parallelepiped of mass m has a
square base of side a and a length 2a. Knowing that it rotates at the
constant rate
about its diagonal
A
C
and that its rotation is observed
from A as counterclockwise, determine (a) the magnitude of the angular
momentum G
H of the parallelepiped about its mass center G, (b) the
angle that G
H forms with the diagonal .
A
C

Trusted by Thousands of
Students

Here are what students say about us.

Copyright ©2022 All rights reserved. | CoursePaper is not sponsored or endorsed by any college or university.