The base structure of the firetruck ladder rotates about a vertical axis through O with a constant angular velocity Q = 8.3 deg/s. At the same time, the ladder unit OB elevates at a constant rate = 5.3 deg/s, and section AB of the ladder extends from within section OA at the constant rate of 0.57 m/s. At the instant under consideration, p = 20°, OA = 8.1 m, and AB = 4.6 m. Determine the magnitudes of the velocity v and acceleration a of the end B of the ladder.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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topic: Space Coordinates & Relative Motion

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The base structure of the firetruck ladder rotates about a vertical axis through O with a constant angular velocity Q = 8.3 deg/s. At the
same time, the ladder unit OB elevates at a constant rate = 5.3 deg/s, and section AB of the ladder extends from within section OA at
the constant rate of 0.57 m/s. At the instant under consideration, p = 20°, OA = 8.1 m, and AB = 4.6 m. Determine the magnitudes of
the velocity v and acceleration a of the end B of the ladder.
Answers:
v=
22
a =
i
i
da
m/s
m/s²
Transcribed Image Text:The base structure of the firetruck ladder rotates about a vertical axis through O with a constant angular velocity Q = 8.3 deg/s. At the same time, the ladder unit OB elevates at a constant rate = 5.3 deg/s, and section AB of the ladder extends from within section OA at the constant rate of 0.57 m/s. At the instant under consideration, p = 20°, OA = 8.1 m, and AB = 4.6 m. Determine the magnitudes of the velocity v and acceleration a of the end B of the ladder. Answers: v= 22 a = i i da m/s m/s²
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it is partially correct 

A = -.4329 is wrong can you check

The base structure of the firetruck ladder rotates about a vertical axis through O with a constant angular velocity = 8.3 deg/s. At the
same time, the ladder unit OB elevates at a constant rate = 5.3 deg/s, and section AB of the ladder extends from within section OA at
the constant rate of 0.57 m/s. At the instant under consideration, = 20%, OA = 8.1 m, and AB = 4.6 m. Determine the magnitudes of
the velocity v and acceleration a of the end B of the ladder.
Answers:
V=
a =
2.1665
0.4349
m/s
m/s²
Transcribed Image Text:The base structure of the firetruck ladder rotates about a vertical axis through O with a constant angular velocity = 8.3 deg/s. At the same time, the ladder unit OB elevates at a constant rate = 5.3 deg/s, and section AB of the ladder extends from within section OA at the constant rate of 0.57 m/s. At the instant under consideration, = 20%, OA = 8.1 m, and AB = 4.6 m. Determine the magnitudes of the velocity v and acceleration a of the end B of the ladder. Answers: V= a = 2.1665 0.4349 m/s m/s²
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