PEARSON ETEXT ENGINEERING MECH & STATS
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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