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Collar A moves in a constant velocity of 900 mm/s to the right. At the instant when 0 = 30°, determine (a) the angular velocity of rod AB, (b) the velocity of collar B. (BJ 15.34 on page 721)

Collar A moves in a constant velocity of 900 mm/s to the right. At the instant when 0 = 30°, determine (a) the angular velocity of rod AB, (b) the velocity of collar B. (BJ 15.34 on page 721)

Elements Of Electromagnetics
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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hello, can you do a step by step solution with explaination for me thank you so much

1. Collar A moves in a constant velocity of 900 mm/s to the right. At the instant when 0 = 30°, determine (a) the angular velocity of rod AB, (b) the velocity of collar B. (BJ 15.34 on page 721) 30° 70° B Solution A With O-xy, we can express 30° 70° v, = 90020° = 900 î (mm/s) A B TRA = 300Z- 30° = 300 (0.866 î – 0.5 ĵ) (mm) Vg = VgZ-70° = V½( 0.342î – 0.94 Ĵ) (mm/s) Using v, V, + öx ĩ gives BA A V ( 0.342 î – 0.94 ĵ) = 900 î + Ôk × 300 (0.866 î – 0.5 ĵ) | "АВ" Component of î: 0.342 vB Ov A 150 0 = 900 (1) ליק Component of ĵ: VB A 0.94 v B + 259.80 = 0 (2) Solving the simultaneous equations (1) and (2) gives B VB = 1017 (mm/s) 3.68 (rad/s) Hence v = 1017Z-70° (mm/s) (ans) ö = ék= - 3.68 k (ans)
Transcribed Image Text:1. Collar A moves in a constant velocity of 900 mm/s to the right. At the instant when 0 = 30°, determine (a) the angular velocity of rod AB, (b) the velocity of collar B. (BJ 15.34 on page 721) 30° 70° B Solution A With O-xy, we can express 30° 70° v, = 90020° = 900 î (mm/s) A B TRA = 300Z- 30° = 300 (0.866 î – 0.5 ĵ) (mm) Vg = VgZ-70° = V½( 0.342î – 0.94 Ĵ) (mm/s) Using v, V, + öx ĩ gives BA A V ( 0.342 î – 0.94 ĵ) = 900 î + Ôk × 300 (0.866 î – 0.5 ĵ) | "АВ" Component of î: 0.342 vB Ov A 150 0 = 900 (1) ליק Component of ĵ: VB A 0.94 v B + 259.80 = 0 (2) Solving the simultaneous equations (1) and (2) gives B VB = 1017 (mm/s) 3.68 (rad/s) Hence v = 1017Z-70° (mm/s) (ans) ö = ék= - 3.68 k (ans)
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