Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
PROBLEM 16.44 (Continued)
PROBLEM 16.45
Cylinder A has an initial angular velocity of 720 rpm clockwise, and cylinders
B and C are initially at rest. Disks A and B each weigh 5 lb and have a radius
r = 4 in. Disk C weighs 20 lb and has a radius of 8 in. The disks are brought
together when C is placed gently onto A and B. Knowing that
0.25
k
µ
=
between A and C and no slipping occurs between B and C, determine (a) the
angular acceleration of each disk, (b) the final angular velocity of each disk.
PROBLEM 16.45 (Continued)
PROBLEM 16.45 (Continued)
PROBLEM 16.46
Show that the system of the inertial terms for a rigid body in plane motion reduces to a single vector, and
express the distance from the mass center G of the body to the line of action of this vector in terms of the
centroidal radius of gyration
k
of the body, the magnitude
a
of the acceleration of G, and the angular
acceleration
.
a
PROBLEM 16.47
For a rigid body in plane motion, show that the system of the inertial terms
consists of vectors
( ),
i
m∆a
2
() ,
ii
m
ω
′
−∆ r
and
( )( )
ii
m′
∆×ra
attached to the
various particles Pi of the body, where
a
is the acceleration of the mass center
G of the body,
ω
is the angular velocity of the body,
a
is its angular
acceleration, and
i
′
r
denotes the position vector of the particle
,
i
P
relative to
G. Further show, by computing their sum and the sum of their moments about
G, that the inertial terms reduce to a vector
ma
attached at G and a couple
.Ia
PROBLEM 16.47 (Continued)
PROBLEM 16.48
A uniform slender rod AB rests on a frictionless horizontal
surface, and a force P of magnitude 0.25 lb is applied at A in a
direction perpendicular to the rod. Knowing that the rod weighs
1.75 lb, determine (a) the acceleration of Point A, (b) the
acceleration of Point B, (c) the location of the point on the bar
that has zero acceleration.
PROBLEM 16.48 (Continued)
PROBLEM 16.49
(a) In Problem 16.48, determine the point of the rod AB at
which the force P should be applied if the acceleration of Point
B is to be zero. (b) Knowing that
0.25P=
lb, determine the
corresponding acceleration of Point A.
