Answered: Consider the portion of an excavator…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 = (______ e_r + ______ e_θ) in./sec
a = ( ______e_r + ______ e_θ) 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?

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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