2. In the position shown, bar AB has a constant angular velocity of 3 rad/s counterclockwise. (a) Determine the angular velocity of bars BD and DE. (b) Determine the angular acceleration of bars BD and DE. (BJ 15.51 on page 723)

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My question is why is the angle for Vb  -71.57 degree? Shouldn't it be (180+18.43) = 198.43 degree since it is measured from the positive x-axis?

A
2. In the position shown, bar AB has a constant angular
velocity of 3 rad/s counterclockwise.
100 mm
В
(a) Determine the angular velocity of bars BD and DE.
(b) Determine the angular acceleration of bars BD and DE.
200 mm
(BJ 15.51 on page 723)
Solution:
E
(a) Set up E-xy. The geometry is given as
225 mm
75mm
'BD = = 225 (mm)
= 200 (mm), ľDE
А
)= 18.43°
-1
B = tan¬
1
B
= 300 sec(18. 43°)= 316.23 (mm),
I BA
y
ВА
Using ö, = 3 k (ccw)(rad/s) and right-hand rule gives
@, x řBA = 3(316.23)Z-71.57° = 948.7Z–71.57°.
VB
2
В
E
DO
Transcribed Image Text:A 2. In the position shown, bar AB has a constant angular velocity of 3 rad/s counterclockwise. 100 mm В (a) Determine the angular velocity of bars BD and DE. (b) Determine the angular acceleration of bars BD and DE. 200 mm (BJ 15.51 on page 723) Solution: E (a) Set up E-xy. The geometry is given as 225 mm 75mm 'BD = = 225 (mm) = 200 (mm), ľDE А )= 18.43° -1 B = tan¬ 1 B = 300 sec(18. 43°)= 316.23 (mm), I BA y ВА Using ö, = 3 k (ccw)(rad/s) and right-hand rule gives @, x řBA = 3(316.23)Z-71.57° = 948.7Z–71.57°. VB 2 В E DO
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