PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The figure at the right shows the schematic view of the retracting mechanism of the landing gear of an aircraft. If the velocity of E on the wheel is 2.4 m/s to the left, calculate the angular velocity of members AB and BC at the instant shown using IC Method ONLY. Note that points A and D are fixed relative to the airframe and the arcs denote the locus of points. The length of members AB, BC, and DCE are 0.5, 0.25, and 2 m, respectively. Also, the angles θ and ∅ are 60° and 40°, respectively and the distance between C and D is 0.5 m.
position represented. Use relative velocity by vector cross product to determine the angular velocities of links AB and BC for
this instant.
5 In the four-bar linkage shown the drive link OA has a counterclockwise angular velocity e = 7.5 rad/s at the
B,
15°
an (magnitude and direction) =
240 mm
@ac (magnitude and direction) =.
80 mm
200
60°
mm
cO
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- The crank OA (link 1) of the four-bar mechanism rotates with constant angular velocity w1. Find the velocity of point B of link 2, and angular velocities w2 of link 2 and w3 of link 3 in one of the following ways: -by Formulae; -by Polygon of the Velocity; -by Instant Centres of Rotationarrow_forwardSolve the following problem using both analytical(vector or scalar) and graphical (IC center)methodsarrow_forwardEnd A of the 3.6-ft link has a velocity of 3.7 ft sec in the direction shown. At the same instant, end B has a velocity whose magnitude is 4.4 ft/sec as indicated. Find the angular velocity w of the link in two ways. The angular velocity of the link is positive if counterclockwise, negative if clockwise. A VA = 3.7 ft/sec 40° Answer: w= 3.6' B B VB = 4.4 ft/sec rad/secarrow_forward
- Bar BC of the linkage slides in the collar D. If bar AB is rotating clockwise with constant angular velocity of 12 rad/s, determine the angular velocity of BC when it is in the horizontal position shown.arrow_forward1. A slotted link (horizontal at the instant shown) pivots about point C and is driven by a pin at point P located on the bar AB, which makes an angle of 0 = 35°, as shown. The distance from A to P is 24". At this instant in time, the distance from C to P is 18". If the angular velocity of bar AB is 2 rad/s clockwise, calculate a. The angular velocity vector of the slotted link. b. The velocity vector of the pin with respect to the slotted link. В C Aarrow_forwardAt the instant shown, an overhead garage door is being shut with point B moving to the left within the horizontal part of the door guide at a speed of 6.5 ft/s, while point A is moving vertically downward. Determine the angular velocity of the door and the velocity of the counterweight C at this instant if L = 6 ft and d = 1.5 ft. 88 floor B The angular velocity of the door is The velocity of the counterweight Cis k rad/s. j ft/s.arrow_forward
- At the instant shown, rod CD has a constant clockwise angular velocity WCD- The collar at C is pin connected to CD and slides freely along AB. If the velocity of point Care 7c = 1.3 m/s, the relative velocity of C to A in the rotating coordinates (C/A)zy = (VC/A)zy (0.8667 -0.500) m/s, and the position vector C/A=0.73(0.8667-0.5007) m, -(0.73) (0.500) knowing that (vC/A)zy WAB 0.866 determine the angular velocity of link AB, WAB. [rad/s] (sign sensitive) 12 b W CD constantarrow_forwardApply the instantaneous centre method at the instant and determine the angular velocity at of CB . In the figure mentioned below The collar C reciprocates ,while moving downward it pursue a velocity of 2m/s .Where as the link TS is fixed . The distance between AB and AC is 0.2m 0-2 m 0.2m.arrow_forward10arrow_forward
- The slider block C moves at 10 m/s down the inclined groove. Both links have the length b -1.8 m. Determine the angular velocity of link BC, at the instant shown. (See figure 04)arrow_forwardThe figure below shows a cargo lift mechanism for a delivery truck At this instant, point A has a velocity of 12 in/s in the direction shown, and point B has a velocity of 10.4 in/s also in the direction shown. Determine the angular velocity of the lower link and the relative velocity point B relative to point A. VB= 10.4 in/s B = 12 in./s 30 24" angular velocity in rpm (magnitude) = angular velocity (direction) {Input whether it's CW or CCW} = relative velocity B/A in in/s (magnitude) = relative velocity B/A (direction) {Input whether it's UP, DOWN, LEFT, or RIGHT} =arrow_forwardQ1. Use the graphical method only, find the velocity of the piston for the system shown below and the angular velocity of the link AB about point A. The crank OA rotates counter clockwise at 3000 rev/min. If the angular acceleration of the crankshaft OA is 1200 rad/s, determine the angular acceleration of the connecting rod AB. Assume that OA = 150mm, AB = 250mm, angle BOA = 60°, ABO = 25°. Garrow_forward
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