PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B.
Write the velocity and acceleration as vectors.Answers:v = ( er + eθ) in./seca = ( er + eθ) in./sec2
The ring of a diameter 1.2 m is pinned to the cart, as shown. At the instant shown, the cart has
a velocity v to the right which is increasing at 1.6 m/s per second, and the ring has a clockwise
angular velocity w = - 3.2 rad/s which is decreasing at 1.6 rad/s per second, and 0 = 35°. Calculate
the magnitude of the accelerations of points B and C on the ring for this instant. (að = 11.82 m/s²,
ас 10.55 m/s²)
=
v, a
A
Ꮎ
ω
C
B
As the hydraulic cylinder rotates around O, the exposed length l of the piston rod P is controlled by the action of oil pressure in the cylinder. If the cylinder rotates at the constant rate 60 deg/s and l is decreasing at the constant rate of 150 mm/s, calculate the acceleration of end B when l = 125 mm.
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- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 10 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Answer the blank questions onlyarrow_forwardThe 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 aoarrow_forwardThe figure is made of rigid members AB, BC, DE, and EF, whichare pinned at A, B, D, E, and F. End C of member BC is pinned to a block which slides on member DE. For the given position, angular velocity of member AB = 2 rad per sec clockwise and angular acceleration of member AB = 3 rad / s^2 counterclockwise. Find the linear velocity and acceleration of the block at C for this position.arrow_forward
- The plate OAB forms an normal and tangential components of acceleration of the centroid C at a certain instant are 65 m/s2 and 27 m/s2, respectively, determine the values of equilateral triangle which rotates counterclockwise with increasing speed about point O. If the and at this same instant. The angle 0 is the angle between line AB and the fixed horizontal axis and the distance b 180 mm. b b b Answers: rad/s rad/s2arrow_forwardConsider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 9 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 15 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Determine the r and 9-components of velocity and acceleration. 2.5 3.6 A 37° Answers: V, = i in./sec Ve = i in./sec in/sec? ag = in./sec2 i iarrow_forwardConsider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 14 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Answers: v=i a = ( 3.7' 38⁰ 2.8' A i e, + i B eg) in./sec ee) in./sec²arrow_forward
- Pravinbhaiarrow_forwardConsider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 14 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B.arrow_forwardIf the compact disc is spinning at a constant angular rate θ˙ = 445 rev/min, determine the magnitudes of the accelerations of points A and B at the instant shown. Determine the magnitudes of the velocities of points A and B.arrow_forward
- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Determine the r- and θ-components of velocity and acceleration. Answers: vr = in./sec vθ = in./sec ar = in./sec2 aθ = in./sec2arrow_forwardAn 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_forwardConsider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 8 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 15 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. 2.2' 2.9' A 420arrow_forward
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