PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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7. In the mechanism the piston rod has a horizontal velocity of v =8 ft/sec to the left as shown at the instant
when e=ß= tan (4/3). Use the instantancous center scalar approach to determine the angular velocities of links AB and BC.
NOTE: Locate the instant center of rotation: Clearly label the instantaneous center on the figure and show your calculation
for its location from geometry.
An (magnitude and direction) =,
Wac (magnitude and direction) =
Problem 1 If the block at C is moving downward at 4 ft/s,
determine the angular velocity of bar AB at the instant
shown.
@AB
2 ft
3 ft
30°
C
vc = 4 ft/s
End 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/sec
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- 3. The two sliders at B move freely on OA and the curved rail and are pin connected so they move together as one. The curved rail is described by the equation r = 200 (2- cos ) mm. If the speed of the collar is 400 mm/s when = 160°, what is the angular velocity 0 of the rod OA at this instant? ė A r 600 mm 6 rad/s 0. 400 mm 200 mmarrow_forward16–81. In each case show graphically how to locate the instantaneous center of zero velocity of link AB. Assume the geometry is known.arrow_forward3) At the instant show, the velocity of point A of the 1.2 m bar is 3 m/s to the right. Determine the speed of point B and the angular velocity of the bar. The diameter of the small end wheels may be negelected. B R = 0.5 m 60° L = 1.2 m Aarrow_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_forwardBar BC rotates about the fixed pivot B with constant angular velocity w = 3 rad/s. Pin A is fixed to bar OA, which rotates about a fixed axis through point O, and is engaged in the slot of member BC. If at the instant presented, 0 = 35°, calculate the angular velocity and angular acceleration of bar OA for this instant. Use d = 0.3 m and l = 0.6 m. (wOA = 3.94 rad/s CW, ao₁ = 3.64 rad/s² CCW) d A l B Ꮎ 3arrow_forwardAt the instant θ = 40 ∘, the bottom A of the L = 13 ft ladder is slipping with velocity vA = -11 ft/s and acceleration aA = -6.5 ft/s2 . (Negative sign for: clockwise rotation, left, and down motion). Determine the velocity of end B of the ladder? Determine the ladder's angular velocity at the given instant? Determine the ladder's angular acceleration? Determine the acceleration of end B?arrow_forward
- 4. The man pulls on the rope at a constant rate of o.5 m/s. Determine the angular velocity and angular acceleration of beam AB when e = 60°. The beam rotates about A. Neglect the thickness of the beam and the size of the pulley. 6m 6 marrow_forwardDetermine the angular acceleration( of the 100kg slender rod at the instant shown. The bar has O velocity and 0 angular velocity at this instant. 60ONarrow_forward16–81. In each case show graphically how to locate the instantaneous center of zero velocity of link AB. Assume the geometry is known. B. Aarrow_forward
- Please solve this using scalar analysis by getting the scalar components at the x and y direction and not by using i-j-karrow_forwardAt the instant represented, the velocity of point A of the 1.89-m bar is 3.6 m/s to the right. Determine the speed VB of point B and the magnitude of the angular velocity w of the bar. The diameter of the small end wheels may be neglected. 0.46 m- 67 B 1.89 m Answers: m/s VB rad/sarrow_forwarda. At the given instant , mention the constraints at C and D, If there are frictionless ball bearings at C and D. b. At the given instant, mention the constraints at C and D, if there are welded joints at C and D. c. At the given instant, for welded joints at C and D, determine the velocity and acceleration of point E in fixed frame.arrow_forward
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