16-109. Member AB has the angular motions shown. Determine the angular velocity and angular acceleration of members CB and DC. 100 mm C D 60° 450 mm WAB 2 rad/s %AB = 4 rad/s² B 200 mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Question
LOS AN
2. If the angular velocity of link AB is 3 rad/s. determine the velocity of the block at C and the angular velocity and
angular acceleration of the connecting link CB at the instant shown.
Ratic Diegram.
Salve relative
Velocity
B
3 n
8=45°
Link BC
2 f
VC/B
-
0
Vc = V/₁3 + VC/B
60
V/B
WA
14=3 radis
=30"
VB = WAB TAB = 3 (2) = 6 Ft/
Vc
4
Y-Direction
0 = -√₂ Sin 60° + V Sin 45°
V8 Sin 60°
Sinasª
4507
= 7.35 F
=> WBC = TBC
Link AB
A
Vas7-35
=
3
IC
= 2.45 rad
CCW
Kinematic diagram
(Acceleration)
30
NERETURNARED SORAGE
n
Ac=AB+ A4/30
A₁ = a + a² + ave
,
Link BC
Link AB
at=d. [AB=0
8
ac
de
Y-Dination
n
t
A₁ = a^² + 4/8 + A²4/2
AB
▷
отив
048
n
0 = 0 Sin 30 - O Sin 45+ ang sin 45°
CIB
0 = 18 Sin 30° - 18 Sin 45 + 0 Sinus
→ at = 5-27 11/²
WAB
t
+0$18
X-Direction
O
- Vc = V8 Coabu - V₁/8 C0-45°
2
A² = WAB TAB = 18 F1 /₂²
Vc = -6 Cos6⁰ + 7-35 C-45
Vc = 2-2 Ft/₂
n
0₁/=
|dis = dpi Toe
'BC
Bc
2.
=W₁²² √ Bc = 18 F 1/5²2
Cla₁8 5.27 = 1.76 a 2 cew
XBC = TBC
S
H
Transcribed Image Text:LOS AN 2. If the angular velocity of link AB is 3 rad/s. determine the velocity of the block at C and the angular velocity and angular acceleration of the connecting link CB at the instant shown. Ratic Diegram. Salve relative Velocity B 3 n 8=45° Link BC 2 f VC/B - 0 Vc = V/₁3 + VC/B 60 V/B WA 14=3 radis =30" VB = WAB TAB = 3 (2) = 6 Ft/ Vc 4 Y-Direction 0 = -√₂ Sin 60° + V Sin 45° V8 Sin 60° Sinasª 4507 = 7.35 F => WBC = TBC Link AB A Vas7-35 = 3 IC = 2.45 rad CCW Kinematic diagram (Acceleration) 30 NERETURNARED SORAGE n Ac=AB+ A4/30 A₁ = a + a² + ave , Link BC Link AB at=d. [AB=0 8 ac de Y-Dination n t A₁ = a^² + 4/8 + A²4/2 AB ▷ отив 048 n 0 = 0 Sin 30 - O Sin 45+ ang sin 45° CIB 0 = 18 Sin 30° - 18 Sin 45 + 0 Sinus → at = 5-27 11/² WAB t +0$18 X-Direction O - Vc = V8 Coabu - V₁/8 C0-45° 2 A² = WAB TAB = 18 F1 /₂² Vc = -6 Cos6⁰ + 7-35 C-45 Vc = 2-2 Ft/₂ n 0₁/= |dis = dpi Toe 'BC Bc 2. =W₁²² √ Bc = 18 F 1/5²2 Cla₁8 5.27 = 1.76 a 2 cew XBC = TBC S H
4:16
Search
Expert Q&A
Done
Please solve question 16-109 below this in the
follwoing way:
• Please include a kinamatic diagram (one for
velocity and one for acceleration).
• Please DO NOT solve this using velocity
analysis (cartesian vector analysis). I would
like it to be solved using scalar method. We
dont use 3D in this course. We only use scalar
analysis for the relative velocity equation
(writing the x and y components of the
equation and solving the equations for the
unknowns). I have attached a sample question
with solution in order to get an idea on how to
use the scalar method to solve my question. I
would like question 16-109 to be solved in a
similar way. Thank you for your
understanding.
If you can solve it as soon as possible that
would be great and I will give you a thumps up
and positive feedback :)
16-109. Member AB has the angular motions shown.
Determine the angular velocity and angular acceleration of
members CB and DC.
100 mm
D
60°
450 mm
W
AB
α AB
84
= 2 rad/s
= 4 rad/s²
=
B
200 mm
Transcribed Image Text:4:16 Search Expert Q&A Done Please solve question 16-109 below this in the follwoing way: • Please include a kinamatic diagram (one for velocity and one for acceleration). • Please DO NOT solve this using velocity analysis (cartesian vector analysis). I would like it to be solved using scalar method. We dont use 3D in this course. We only use scalar analysis for the relative velocity equation (writing the x and y components of the equation and solving the equations for the unknowns). I have attached a sample question with solution in order to get an idea on how to use the scalar method to solve my question. I would like question 16-109 to be solved in a similar way. Thank you for your understanding. If you can solve it as soon as possible that would be great and I will give you a thumps up and positive feedback :) 16-109. Member AB has the angular motions shown. Determine the angular velocity and angular acceleration of members CB and DC. 100 mm D 60° 450 mm W AB α AB 84 = 2 rad/s = 4 rad/s² = B 200 mm
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