PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 27P
To determine
The angular acceleration of the rod,
Theacceleration of collar B,
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The
two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block
ao = 5.2 m/s². If Ò = 0 and 0 = 4.2 rad/s² when 0 = 0, find the magnitude of the acceleration of the tip A of the blade for this
instant.
770
A
mm
ao
Bar AB is pinned to the fixed support at A, and the collar B is pinned to the bar at its opposite end. The bar CD can slide freely through
the collar at B. At the instant shown, bar AB is horizontal, /= 1.2 m, s = 1.07 m, 0 = 60°, and wAB= 40 rad/s. If ªäß = 21 rad/s² at the
instant shown, determine the angular velocity and angular acceleration of the bar CD.
WAB
αAB
с.
B
The angular velocity of the bar CD is
The angular acceleration of the bar CD is
k rad/s.
k rad/s².
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 mm
Chapter 20 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 20 - The propeller of an airplane is rotating at a...Ch. 20 - The disk rotates about the z axis at a constant...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - At a given instant, the antenna has an angular...Ch. 20 - The disk rotates about the shaft S, while the...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The truncated double cone rotates about the z axis...Ch. 20 - Prob. 20P
Ch. 20 - Gear B is driven by a motor mounted on turntable...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 30PCh. 20 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20 - Prob. 38PCh. 20 - At the instant = 60, the telescopic boom AB of...Ch. 20 - Prob. 40PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51P
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- At the instant shown, the wheel is rotating counterclockwise at angular velocity 20 rad/s and is decelerating at angular acceleration of 400 rad/s^2 . The six foot long rod AB causes the block to move along the passageway. Determine the angular velocity of the rod. Determine the velocity of the block.arrow_forwardAn external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 25°, the magnitude of the velocity vector of point C is 20 m and the angular acceleration of link CD is 45 rad in the CCW direction. s2 rad Determine the angular acceleration vector of link CE (in ) at this instant. Consider L = 6 metres. E 2 4 Marrow_forward6. At the instant when 0= 60° roller B is observed to move rightward with a velocity of va = 0.3 m/s, while the hydraulic cylinder gives the piston rod A an upward acceleration of a, = 0.25 m/s*. Determine the angular acceleration of link AB and the acceleration of roller B for this position. a (magnitude and direction) = as (magnitude and direction) - 300 mmarrow_forward
- The vertical rod has a downward velocity v = 1.7 ft/sec and an upward acceleration a = 2.9 ft/sec² when the device is in the position shown. Determine the corresponding angular acceleration of bar AB (positive if counterclockwise, negative if clockwise) and the magnitude of the acceleration of roller B if R = 16 in. 1.15R a +0 A 22° R Barrow_forward3.0 m/s relative to the bar as shown. The distances are L = 2.97 m and d 0.82 m The small collar A is sliding on the bent bar with speed Simultaneously, the bar is rotating with angular velocity w 1.34 rad/s about the fixed pivot B. Take the x-y axes to be fixed to the bar and determine the Coriolis acceleration acor of the slider for the instant represented. Interpret your result. BC Answer: acor =( | i ii j) m/s2arrow_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
- An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 45°, the magnitude of the velocity vector of point C is 10 m and the angular acceleration of link CD is 35 rad in the CCW direction. Determine the y-component of the acceleration vector of point C in m at this instant. Consider L 6 metres. E AOarrow_forward3. In the mechanism shown collar B slides with a constant speed ug = 1 ft/see to the right on the fixed rod. If a=0.8 ft, b= 1.2 ft, and h = 0.4 ft, determine the magnitude and direction of the angular velocity and angular acceleration of links OA and AB at the instant when 0 = 30°. (wo 0.98 rad/sec CW, WAB= 0.76 rad/sec CCW, 90A = 1.23 rad/sec² CCW, AB=0.86 rad/sec² CW) B VB b a 0 4arrow_forwardThe vertical rod has a downward velocity v = 3.3 ft/sec and an upward acceleration a = 3.5 ft/sec? when the device is in the position shown. Determine the corresponding angular acceleration of bar AB (positive if counterclockwise, negative if clockwise) and the magnitude of the acceleration of roller B if R = 12 in. a +0 A 1.30R R 220 Barrow_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_forward2. The angular velocity of the drum is increased uniformly from 6 rad/s when t = 0 to 10 rad/s when t = 4 s. Find the magnitudes of the velocity and acceleration of points A and B on the belt the instant when t = 3 s. 4 in.arrow_forward3. The hydraulic cylinder C extends and causes the collar A to move and accelerate to the left. 5) If the length /= 1.6 ft, the angle = 24°, the linear velocity of collar A, VA is 3.4 ft/s, and the linear acceleration of collar A, a is 3.2 ft/s², determine the angular acceleration in rad/s², & AB, of rod AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. y X B C Your Answer: Answer Ꮎ Ө A VA dAarrow_forward
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