PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The r-y coordinate system is body fixed with respect to the bar. The angle 0 (in radians) is given as a function of time by 0 = 0.1+0.08t². The a
coordinate of the sleeve A (in feet) is given as a function of time by x = 3+0.06t3. Determine the velocity of the sleeve at t = 4 s relative to a
nonrotating reference frame with its origin at B. (Although you are determining the velocity of A relative to a nonrotating reference frame, your
answer will be expressed in components in terms of the body-fixed reference frame.)
(Figure 1)
Enter the a and y components of the velocity separated by a comma.
Πν ΑΣφ
It vec
?
VA 2, VA y = 2.88,4.92
ft/s
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In Figure 1, a pin jointed four bar mechanism is shown. At the instant shown the
crack AB is at 90° from the horizontal construction line and is rotating at the
constant speed of 20 rad/s. If the pivot points A and D are fix determine the
velocity and actual acceleration of all links using the vector diagram.
с
B
600 mm
225 mm
A
TIM
k
Ţ
150 mm
Y
-900 mm-
Figure 1: Four bar mechanism
600 mm
ITTI
D
Bar OC rotates with a clockwise angular velocity woc = 2.9 rad/s and a counterclockwise angular acceleration doc = 1.5 rad/s². The bar
OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular
acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise.
Assume OA = 415 mm, d = 320 mm, 0 = 37°.
A
B
d
aoc
Answers:
i
rad/s
W =
rad/s?
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- Bar OC rotates with a clockwise angular velocity woc = 2.9 rad/s and a counterclockwise angular acceleration đoc = 1.5 rad/s². The bar OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise. Assume OA = 415 mm, d = 320 mm, e = 37°. A B d aoc Answers: rad/s W = 4.71 i -34.6 rad/s?arrow_forwardBar OC rotates with a clockwise angular velocity woc = 5.3 rad/s and a counterclockwise angular acceleration doc = 4.6 rad/s². The bar OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise. Assume OA = 500 mm, d = 385 mm, 0 = 21°. Answers: W = B a = i i d aoc rad/s rad/s² @ocarrow_forwarddynamic slender rods are fixed together as shown at left determine the anguler acceleration of the system when it is released.arrow_forward
- Incorrect The Scotch-yoke mechanism converts rotational motion of the disk to oscillatory translation of the shaft. Using the values e = 30°, w = 5.4 rad/s, a = 2.1rad/s?,r = 230 mm, d = 610 mm, and ß = 16°, determine the velocity and acceleration of point P of the shaft. The velocity and accelerations are positive if to the right, negative if to the left. Answers: Vp = -0,563 m/s ap = i -6.195 m/s?arrow_forwardIn the mechanism illustrated below, the disk rolls without slip at constant angular velocity w = 10 rad/s in the indicated direction. R = 0.5ft. use the VECTOR method to determine the angular velocity of link AB and velocity of slider Aarrow_forwardIf collar B is moving downwards at vg = 2.3 m/s, determine the angular speed of the gear which is pin connected to the fixed point at O and free to rotate. The radius of the gear is r=0.3 m and the length of link AB is indicated on the figure. Hìnt: Consider using the IC method. !i!arrow_forward
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