Find the acceleration of B when the acceleration of C is aC=4.65 i+2.76 j m/s^2 and the acceleration of A is a=−3.00 j m/s2. Member ABC makes an angle of θ=23.0∘ at the instant considered.

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.73P
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Find the acceleration of B when the acceleration of C is aC=4.65 i+2.76 j m/s^2 and the acceleration of A is a=−3.00 j m/s2. Member ABC makes an angle of θ=23.0∘ at the instant considered.

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
2.40 m and the distance between A and B is 1.25 m. When
member ABC forms an angle of 0 = 37.0° with the rack, the
acceleration of B is aß = 1.55 m/s² and the velocity of the
block attached at A is vA = 2.95 m/s in the direction shown.
Positive angular velocity and acceleration are in the
counterclockwise direction. (Figure 1)
Figure
aB
B
1 of 1
significant figures than required for this part.
Part B - Acceleration of C
Find acceleration of C, ac, at the instant shown. Give your answer in component form.
Express your two answers, separated by commas, to three significant figures in meters per second squared.
► View Available Hint(s)
ac = 2.98,-14.8 i j m/s²
Submit
✓ Correct
Term 1: Correct answer is shown. Your answer 2.986 was either rounded differently or used a different number
of significant figures than required for this part.
Previous Answers
Term 2: Correct answer is shown. Your answer -14.789 was either rounded differently or used a different
number of significant figures than required for this part.
Part C - Acceleration of B
Find the acceleration of B when the acceleration of C is ac = 4.65 i+2.76 j m/s² and the acceleration of A is
a = -3.00 j m/s². Member ABC makes an angle of 0 = 23.0° at the instant considered.
Express your answer to three significant figures in meters per second squared.
► View Available Hint(s)
VE ΑΣΦ
ag =
Submit
vec
?
im/s²
Transcribed Image Text: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 2.40 m and the distance between A and B is 1.25 m. When member ABC forms an angle of 0 = 37.0° with the rack, the acceleration of B is aß = 1.55 m/s² and the velocity of the block attached at A is vA = 2.95 m/s in the direction shown. Positive angular velocity and acceleration are in the counterclockwise direction. (Figure 1) Figure aB B 1 of 1 significant figures than required for this part. Part B - Acceleration of C Find acceleration of C, ac, at the instant shown. Give your answer in component form. Express your two answers, separated by commas, to three significant figures in meters per second squared. ► View Available Hint(s) ac = 2.98,-14.8 i j m/s² Submit ✓ Correct Term 1: Correct answer is shown. Your answer 2.986 was either rounded differently or used a different number of significant figures than required for this part. Previous Answers Term 2: Correct answer is shown. Your answer -14.789 was either rounded differently or used a different number of significant figures than required for this part. Part C - Acceleration of B Find the acceleration of B when the acceleration of C is ac = 4.65 i+2.76 j m/s² and the acceleration of A is a = -3.00 j m/s². Member ABC makes an angle of 0 = 23.0° at the instant considered. Express your answer to three significant figures in meters per second squared. ► View Available Hint(s) VE ΑΣΦ ag = Submit vec ? im/s²
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