978-0077687342 Chapter 15 Part 20

subject Type Homework Help
subject Pages 9
subject Words 1809
subject Authors Brian Self, E. Johnston, Ferdinand Beer, Phillip Cornwell

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page-pf1
PROBLEM 15.257 (Continued)
2
sin 60
°
2
page-pf2
PROBLEM 15.257 (Continued)
page-pf3
PROBLEM 15.258
Rod BC of length 24 in. is connected by ball-and-socket joints to
a rotating arm AB and to a collar C that slides on the fixed rod
DE. Knowing that the length of arm AB is 4 in. and that it rotates
at the constant rate
110 rad/s,
ω
=
determine the velocity of
collar C when
0.
θ
=
C
C
page-pf4
PROBLEM 15.259
In the position shown, the thin rod moves at a constant speed u
3 in./s=
out of the tube BC. At the same time, tube BC rotates
at the constant rate
21.5
ω
=
rad/s with respect to arm CD.
Knowing that the entire assembly rotates about the X axis at
the constant rate
11.2
ω
=
rad/s, determine the velocity and
acceleration of end A of the rod.
page-pf5
PROBLEM 15.259 (Continued)
A=−−a ijk
Method 2
Let frame Dxyz, which at instant shown coincides with DXYZ, rotate with an angular velocity
11.2 rad/s.
ω
= =ii
Then the motion relative to the frame consists of the rotation of body DCB about the Z axis with angular
velocity
2(1.5 rad/s)
ω
= −kk
plus the sliding motion
(3 in./s)u= =ui j
of the rod AB relative to the body DCB.
Motion of the coinciding Point
A
in the frame.
1.2 (6 9 )
(10.8 in./s) (7.2 in./s)
AA
= ×
= ×+
=−+
vr
i jk
jk
page-pf6
PROBLEM 15.259 (Continued)
A
page-pf7
PROBLEM 15.CQ1
A rectangular plate swings from arms of equal length
as shown below. What is the magnitude of the angular
velocity of the plate?
(a) 0 rad/s
(b) 1 rad/s
(c) 2 rad/s
(d) 3 rad/s
(e) Need to know the location of the center of gravity
page-pf8
PROBLEM 15.CQ2
Knowing that wheel A rotates with a constant angular velocity and that no
slipping occurs between ring C and wheel A and wheel B, which of the
following statements concerning the angular speeds are true?
(a) ωa = ωb
(b) ωa > ωb
(c) ωa < ωb
(d) ωa = ωc
(e) the contact points between A and C have the same acceleration
page-pf9
PROBLEM 15.CQ3
The ball rolls without slipping on the fixed surface as shown. What is the
direction of the velocity of Point A?
(a) (b) (c) (d) (e)
page-pfa
PROBLEM 15.CQ4
Three uniform rods, ABC, DCE and FGH are connected as shown. Which of
the following statements are true?
(a) ωABC = ωDCE = ωFGH
(b) ωDCE > ωABC > ωFGH
(c) ωDCE < ωABC < ωFGH
(d) ωABC > ωDCE > ωFGH
(e) ωFGH = ωDCE < ωABC
page-pfb
PROBLEM 15.CQ5
The disk rolls without sliding on the fixed
horizontal surface. At the instant shown, the
instantaneous center of zero velocity for rod AB
would be located in which region?
(a) region 1
(b) region 2
(c) region 3
(d) region 4
(e) region 5
(f) region 6
page-pfc
PROBLEM 15.CQ6
Bar BDE is pinned to two links, AB and CD. At the instant shown the
angular velocities of link AB, link CD and bar BDE are ωAB, ωCD, and
ωBDE, respectively. Which of the following statements concerning the
angular speeds of the three objects is true at this instant?
(a) ωAB = ωCD = ωBDE
(b) ωBDE > ωAB > ωCD
(c) ωAB = ωCD > ωBDE
(d) ωAB > ωCD > ωBDE
(e) ωCD > ωAB > ωBDE
page-pfd
PROBLEM 15.CQ7
A rear wheel drive car starts from rest and accelerates to the left so that the
tires do not slip on the road. What is the direction of the acceleration of the
point on the tire in contact with the road, that is, Point A?
(a) (b) (c) (d) (e)
page-pfe
PROBLEM 15.CQ8
A person walks radially inward on a platform that is rotating counterclockwise about its center. Knowing that
the platform has a constant angular velocity
ω
and the person walks with a constant speed u relative to the
platform, what is the direction of the acceleration of the person at the instant shown?
(a) Negative x
(b) Negative y
(c) Negative x and positive y
(d) Positive x and positive y
(e) Negative x and negative y

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