To be able to use the equation for relative acceleration between two points to find unknown linear accelerations and angular accelerations of connected bodies. Member ABC is controlled using a rack and pinion, which is connected at B. (The rack is the long, horizontal gear.) The rack can only move horizontally and the pinion does not translate. A block in a sleeve is connected at A and allows movement only in the vertical direction. Member ABC has a total length of 2.10 m and the distance between A and B is 1.25 m . When member ABC forms an angle of 0 = 33.0° with the rack, the acceleration of B is aß = 1.35 m/s² and the velocity of the block attached at A is vA = 2.55 m/s in the direction shown. Positive angular velocity and acceleratior are in the counterclockwise direction.(Figure 1) B Find the acceleration of A at the instant shown. Indicate the direction with the sign based on the axes in the figure.
To be able to use the equation for relative acceleration between two points to find unknown linear accelerations and angular accelerations of connected bodies. Member ABC is controlled using a rack and pinion, which is connected at B. (The rack is the long, horizontal gear.) The rack can only move horizontally and the pinion does not translate. A block in a sleeve is connected at A and allows movement only in the vertical direction. Member ABC has a total length of 2.10 m and the distance between A and B is 1.25 m . When member ABC forms an angle of 0 = 33.0° with the rack, the acceleration of B is aß = 1.35 m/s² and the velocity of the block attached at A is vA = 2.55 m/s in the direction shown. Positive angular velocity and acceleratior are in the counterclockwise direction.(Figure 1) B Find the acceleration of A at the instant shown. Indicate the direction with the sign based on the axes in the figure.
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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Find aA with units j m/s2

Transcribed Image Text:To be able to use the equation for relative acceleration
between two points to find unknown linear accelerations and
angular accelerations of connected bodies.
Member ABC is controlled using a rack and pinion, which is
connected at B. (The rack is the long, horizontal gear.) The
rack can only move horizontally and the pinion does not
translate. A block in a sleeve is connected at A and allows
movement only in the vertical direction. Member ABC has a
total length of 2.10 m and the distance between A and Bis
1.25 m . When member ABC forms an angle of 0 = 33.0°
with the rack, the acceleration of B is aB = 1.35 m/s? and
the velocity of the block attached at A is v4 = 2.55 m/s in
the direction shown. Positive angular velocity and acceleratior
are in the counterclockwise direction.(Figure 1)
B
Find the acceleration of A at the instant shown. Indicate the direction with the sign based on the axes in the
figure.
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