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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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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 THIS PART ONLY************

Write the velocity and acceleration as vectors.

v = (______  er + ______ eθ) in./sec
a = (  ______er + ______ eθ) in./sec2
 

 

Determine the r- and 0-components of velocity and acceleration.
3.0'
3.8'
36°
O OKO
Answers:
V, =
7
in./sec
Ve =
14.242
in./sec
a, =
2.4857
in./sec2
de =
2.4435
in./sec?
Transcribed Image Text:Determine the r- and 0-components of velocity and acceleration. 3.0' 3.8' 36° O OKO Answers: V, = 7 in./sec Ve = 14.242 in./sec a, = 2.4857 in./sec2 de = 2.4435 in./sec?
Determine the indicated terms used in the velocity and acceleration formulas.
3.0'
3.8'
A
36°
Answers:
r =
81.6
in.
0 =
36
=
7
in./sec
=
56.55
rad/s
-3
in./sec2 =
rad/s?
Transcribed Image Text:Determine the indicated terms used in the velocity and acceleration formulas. 3.0' 3.8' A 36° Answers: r = 81.6 in. 0 = 36 = 7 in./sec = 56.55 rad/s -3 in./sec2 = rad/s?
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